a. razmaZis saxelobis maTematikis institutis 2004 wlis samecniero ...

ganmartebulia abelis jgufis struqtura meore winaaRmdegobis funqtorSi stabilurganzomilebebSi [115].agebulia mgrex kojaWvTa Teoria stinrodis 1-namravlebisaTvis da mocemulia misi gamoyenebanihoxSildisa da sivrcis kojaWvTa kompleqsebSi [158].permutaedris diagonalis saSualebiT mocemulia gamravlebis formula ormag bar konstruqciaSi[97].miRebulia transferis formulebi cikluri da simetriuli jgufebis Sesabamisi dafarvebisTvisCernis klasebisTvis [6].miRebulia oberstis oradobis versia. es oradoba akavSirebs erTmaneTTan sasrulad warmoqmnilpolinomur modulebsa da kerZowarmoebulian (da sxvaobian) gantolebaTa amonaxsnebissivrceebs [91].G2 da F4 tipis lis martivi superalgebrebisaTvis miRebulia karg graduirebaTa klasifikacia[134].damuSavebulia adre miRebuli signaturuli formulebis axali gamoyenebebi. kerZod, mi-Rebulia cxadi formulebi konfiguraciuli sivrceebis eileris maxasiaTeblisaTvis da Semu-Savebulia mravalganzomilebian naSTTa gamoyenebebi polinomiuri sistemebis fesvTa raodenobisdasaTvlelad [43,66-68].albaTobis Teoria da maTematikuri statistikaganxilulia uwyveti mravalganzomilebiani semimartingali da dasmuli da gamokvleuliainovaciis problema am zogad SemTxvevaSi. miRebulia inovaciuri procesis arsebobis zogadipirobebi. Sedegebi miyenebulia maTematikuri finansebis informaciuli modelirebis problemisadmi.ganxilulia nawilobriv dakvirvebadi mravalganzomilebiani semimartingali. agebuliafinansuri valdebulebis mahejirebeli strategia da miRebulia fasis formula [101].minimaluri entropiis martingaluri zomis simkvrive gamosaxulia Sesabamisi optimizaciuriproblemis fasis procesis terminebSi da naCvenebia, rom es fasis procesi ganisazRvrebarogorc Sebrunebuli semimartingaluri gantolebis erTaderTi amonaxsni. ganxilulia ker-Zo SemTxvevebi, romlebic uSveben amonaxsnis cxadi saxiT amoweris SesaZleblobas [92].damtkicebulia eqsponencialuri martingaluri gantolebis amonaxsnis arseboba da erTaderToba.amonaxsni gamoiyeneba finansuri valdebulebis fasdadebisa da hejirebis problemasTandakavSirebuli garkveuli martingaluri zomebis dasaxasiaTeblad [189,190].miRebulia axali saxis energetikuli Sefasebebi mravalganzomilebiani dabrkolebis amocanebisaTvisstoqasturi analizis teqnikiT. Sedegebis gamoyvanisas arsebiTad gamoyenebuliasnelis momvlebTaTvis adre miRebuli stoqasturi aprioruli utolobebi da agreTve kavSirigaCerebis amocanebsa da variaciul utolobebs Soris [99].dadgenilia simkvrivis lokaluri Teoremebis eqvivalentoba erTnairad ganawilebuliSemTxveviTi veqtorebis zrdadi awonili jamebis normirebis ori xerxisaTvis. dazustebuliatoli saSualoebisa da mudmivi mamravliT gansxvavebuli kovariaciis matricebis mqone mravalganzomilebiannormalur ganawilebaTa Soris variaciuli manZilis Sefaseba [100,183].mocemulia meTodi, romelic “stoqasturad aragluvi” vineris funqcionalebis stoqasturintegralad cxadi saxiT warmodgenis saSualebas iZleva [198].Semotanilia pirobiTi binomuri procesi, romelic Sedgenili jamebis wrfiv funqcionalebadwarmodgenis saSualebas iZleva, rac moxerxebulia aRricxvisaTvis. Seswavlilia amprocesebis upirobo da martingaluri Tvisebebi [102].atombirTvisa da elementaruli nawilakebis fizika; velis kvanturi Teoria;kondensirebul garemoTa fizikaganxilulia holis 2-Sriani kvanturi sistema \nu=2 SemTxvevaSi da Seswavlilia ZiriTadimdgomareobis sakiTxi. analizi Catarebulia tuneluri urTierTqmedebis, zeemanis urTierTqmedebisada Sreebze modebuli Zabvis zogadi SemTxvevisaTvis. warmodgenilia arsebuli eqsperimentulimonacemebis interpretaciis mcdeloba miRebuli analizuri Sedegebis safuZvelze.mwiri eqxperimentuli monacemebis gamo, identifikacia sakmaod rTulia, magram e.w."canted" fazis arseboba mainc realur movlenad ikveTeba [139].4

agebul iqna asimptoturi velebis puasonuri algebra da misi Sesabamisi kvanturi gacvli-Ti algebra liuvilis TeoriaSi. es algebrebi saSualebas iZleva gamoiTvalos liuvilis velisaraTanadrouli komutatori, romelic mizezobrivi da lokaluria. amis garda, gacvli-Ti algebris gamoyenebiT miiReba araperturbatuli gantoleba liuvilis S-matricisTvis.Catarebulia am gantolebis analizi [58].ganxilul iqna nawilakis dinamika 1+1 ganzomilebian A sivrceze. hamiltonuri reduqciiTmiRebuli sistema dakvantuli iqna geometriuli meTodiT. agebul iqna Teoriis izometriisjgufis Sesabamisi koherentuli mdgomareobebi da agreTve is koherentuli mdgomareobebi,romlebic parametrizdeba sivrce-drois wertilebiT. gamoTvlil iqna matriculi elementebiaseT koherentul mdgomareobebs Soris. am gamoTvlebis safuZvelze SemoTavazebul iqnapropagatoris gamoTvlis wesi, romelic iTvaliswinebs integrebas koherentuli mdgomareobebiT.miRebuli Sedegi emTxveva velis Teoriis propagators [59].AdS nawilakis dinamikis Seswavlisas napovni iqna kanonikuri cvladebi da kanonikuridakvantviT agebuli iqna invariantobis jgufis unitaruli, dauyvanadi warmodgenebi. napovniiqna am warmodgenebis unitaruli zRvari, romelic emTxveva velis Teoriidan miRebul Sedegs.umaso nawilakis dakvantvisas miRebuli iqna kvanturi masuri parametris fiqsirebulimniSvneloba, romelic aseve emTxveva velis TeoriaSi miRebul invariantul masas [57].Seswavlilia yalbi vakuumis daSlis albaTobis erT-maryuJiani Sesworebebi [5]. ganviTarebuliaSesabamisi determinantebis daTvlis kombinirebuli analizur-ricxviTi meTodi.naCvenebia, rom kvanturi Sesworebebi mcirdeba, roca vcildebiT Txel kedlebian miaxloebas.Seswavlilia klasikuri amoxsnebi ainStain-iang-milsis TeoriaSi uaryofiTi kosmologiurimudmiviT. ganxilulia maTi stabiluroba da naCvenebia [20], rom arsebobs parametrebisareebi arastabiluri modebis nebismieri ricxviT (0,1,2, ...), anu stabiluri (monopolis tipis),erTi uaryofiTi modiT (sfaleronuli tipis) da a.S.magnituri velis arseboba adrian samyaroSi iwvevs reliqturi gamosxivebis polarizaciismobrunebas (e.w. faradeis mobruneba). [5]-Si dadgenilia susti magnituri velis gavlena reliqturigamosxivebis parametrebze. ganxilulia Sesabamisi signalis deteqtirebis SesaZlebloba[181].gamoTvlilia vorteqsuli operatoris ultraiisferi yofaqceva higsis dinamiuri velisarsebobis pirobebSi. Gganxilulia rogorc 2+1 ganzomilebiani kvanturi eleqtrodinamika,aseve jorgi-gleSous modeli. dadgenilia, rom 1-maryuJian miaxloebaSi ked-s SemTxvevaSihigsis veli iwvevs propagatorSi xarisxovan Sesworebebs. J-g modelis SemTxvevaSi Hhigsisveli mierTebul warmodgenaSi ar axdens gavlenas vorteqsis propagatorze [78].Catarebulia yaliburi Teoriebis hamiltonuri aspeqtebisa da yaliburad invariantulicvladebis mimoxilva. Aara-abeluri yaliburi Teoriis formulireba yaliburad invariantulicvladebis terminebSi mocemulia SU(2) iang-milsis Teoriis SemTxvevisaTvis [77].gamokvleulia iang-milsis gantolebebi kompaqtur naxevrad-martivi lis jgufis mravalsaxeobaze.naCvenebia, rom sasruli qmedebis Sesabamisi amonaxsnebi Caiwereba maurer-kartanis1-formis saxiT. Aam da sxva Sedegebze dayrdnobiT dadgenilia iang-milsis gantolebebis amoxsnaSU(3)-is jgufur mravalsaxeobisaTvis eileris ganzogadoebuli kuTxeebis terminebSi[147].agebulia velis kvanturi Teoria sasruli simkvriveebisaTvis da temperaturasTvis, romlissawyisi pirobebi sinaTlis frontzea mocemuli. aseTi Teoria sagrZnoblad amartivebsamocanebs tradiciul midgomasTan SedarebiT da imedis momcemia zogi gadauwyveteli amocanebisamoxsnaSi[ [16]. aseve naCvenebia nul-sibrtyisa da tradiciuli Teoriebis eqvivalentobasasrul simkvriveebsa da temperaturebze [17].gamoTvlilia meoradi damuxtuli adronebis mravlobiTobiTi ganawileba kaskadur-klasterulmodelSi relativisturi birTvebis dajaxebisaTvis. Sedegebi Sedarebulia eqsperimentulmonacemebTan, romlebic miRebulia dubnis amaCqarebelze [145].Seswavlilia arakomutaciuri puasonis struqturis geometriuli, algebruli da homologiuriTvisebebi. Semotanilia arakomutaciuri botis bmulobis cneba dafurclul arakomutaciurmravalsaxeobaze da SemuSavebulia gadagvarebuli arakomutaciuri puasonisstruqturis reduqciis meTodi. SemoRebulia kazimiris ganzogadebuli funqciis cneba singularulipuasonis struqturisaTvis da naCvenebia maTi sivrcis izomorfuloba puasonisnulovani rigis kohomologiebTan [44].5

SemoRebulia da aRwerilia botis bmuloba ara marto regularuli, aramed singularuliarakomutaciuri mravalnairobebisaTvis [44,45]. Seswavlilia arakomutaciuri puasonisstruqtura veqtoruli fibraciis endomorfizmebis algebris SemTxvevaSi. CamoyalibebuliaaseTi struqturebis ojaxis sruli aRwera; agreTve arakomutaciuri mravalnairobebisa dafaqtormravalnairobebis sruli aRwera [45,46].Seswavlilia kavSirebi lis jgufebze da homogenur sivrceebze geometriuli marTvis Teoriasada kvantur gamoTvlebs Soris. geometriuli marTvis TeoriaSi cnobili miRwevadobisada marTvadobis kriteriumebis gamoyenebiT SemuSavebulia kvanturi gamoTvlebisaTvis sa-Wiro agebis meTodi [148].ganxilulia ara-neteriseuli simetriebis sakiTxi integrebad modelebSi [28].SeSfoTebis Teoriis maRal rigebSi (dawyebuli me-3 rigidan) SemoTavazebuli da gamokvleuliaaxali warmodgena mwkrivis saxiT renorm-jgufis gantolebis amonaxsnebisaTvis[186,187]. mwkrivi Seswavlilia diferencialuri gantolebebis analizuri Teoriis meTodebiT.dadginda, rom mwkrivi krebadia SeSfoTebis Teoriis nebismierad maRal rigSi [186]. naCvenebia,rom mwkrivis krebadobis siCqare didia da mwkrivis ramodenime pirveli wevri praqtikuladzust Sedegs iZleva mTel impulsur intervalze. gamoyenebis TvalsazrisiT miRebuliamonaxsnebi efeqturia rogorc standartuli, ise analizuri SeSfoTebis Teoriis midgomebisTvis[187].1.2. saqarTvelos mecnierebaTa akademiis grantebiT Sesrulebuli samuSaoebiproeqti # 1.1.04 _ uwyvet tanTa meqanikis nawilobriv ucnobsazRvriani da sakontaqtoamocanebi, faqtorizaciis amocanebi da maTi gamoyenebaSeswavlilia drekadobis brtyeli Teoriis nawilobriv ucnobsazRvriani amocana, rodesacsazRvris ucnobi nawili imyofeba plastikur mdgomareobaSi da plastikuri zona sxeul-Si ar vrceldeba.orTotropuli firfitisaTvis naxevradusasrulo drekadi CarTvebis SemTxvevaSi sakontaqtoamocanebi amoxsnilia efeqturad analizur funqciaTa Teoriis meTodebis gamoyenebiT.gamokvleulia dinamikuri mdgradobis amocanebi iseTi garsebisaTvis, romlebzedac moqmedebenmeridianuli Zalebi da normaluri datvirTvebi, damokidebulni droze parabolurikanoniT. dadgenilia dinamikuri aramdgradobis areebi, sadac amonaxsnebi SemousazRvrelia.agebulia Zabvisa da gadaadgilebis velis elementebis kompleqsuri warmodgenebi ori analizurifunqciis saSualebiT ganzogadoebuli brtyeli daZabuli mdgomareobis pirobebSi,roca puasonis koeficienti icvleba specialuri kanoniT.naCvenebia speqtraluri faqtorizaciis adre miRebuli algoriTmis upiratesobebi polinomurimatric-funqciebisaTvis.amoxsnilia filtraciis Teoriis organzomilebiani nawilobriv ucnobsazRvriani stacionarulikonkretuli amocanebi miwis kaSxalSi filtraciis Sesaxeb.proeqti # 1.2.04 _ sivrceebisa da fibraciebis axali algebruli modelebi da maTigamoyenebani homotopiur amocanebSiformulirebulia meore winaaRmdegobasTan dakavSirebuli saklasifikacio Teoremebi winaaRmdegobisfunqtoris terminebSi. naCvenebia, rom am funqtoris maklasificirebeli sivrceaSesabamisi orhomotopisjgufiani sivrce [116].hoxSildis kojaWvebSi Seyvanili homotopiuri G-algebris struqturis meSveobiT agebuliawinaaRmdegobis Teoria A(∝)-struqturis gadagvarebulobisaTvis [60].maryuJTa sivrcisTvis agebulia hopfis modeli asociatiuri stinrodis 1-namravliT damocemulia misi zogierTi gamoyeneba [200].gamoTvlilia moravas K-Teoria diedraluri, semidiedraluri da kvaternionuli jgufebisTvis[108]. [6

proeqti # 1.3.04 _ sasazRvro-sakontaqto amocanebis amonaxsnTa Tvisebebi da asimptotikauwyveti garemos zogierTi modelisaTvisSeswavlilia sasazRvro-sakontaqto amocanebi konusuri gansakuTrebulobis mqone areebisaTvis.fsevdodiferencialur operatorTa teqnikis gamoyenebiT miRebulia fredholmurobisaucilebeli da sakmarisi pirobebi. dadgenilia konusis wveros maxloblobaSi amonaxsnTaasimptotika [160,161].potencialisa da variaciuli utolobebis meTodebis gamoyenebiT gamokvleulia metalisda pizokeramikuli sxeulebis meqanikuri da Termuli urTierTqmedebis samganzomilebiani sasazRvro-sakontaqtoamocana. damtkicebulia amonaxsnis arsebobis, erTaderTobisa da regularobisTeoremebi sobolevis, besovisa da beselis potencialTa sivrceebSi [124,125].variaciul utolobaze miyvanis meTodis gamoyenebiT Seswavlili iqna momenturi drekadobisTeoriis statikis Sida da gare sasazRvro amocanebi, rodesac drekadi sxeulis garkveulnawilze an mTel sazRvarze gaTvaliswinebulia xaxunis efeqti [144].proeqti # 1.4.04 _ arawrfivi dinamikisa da aratrivialuri ZiriTadi mdgomareobisproblemebi velis kvantur TeoriaSiganviTarebulia ori Srisagan Semdgari holis kvanturi sistemis aRweris formalizmi. amformalizmis meSveobiT Seswavlilia skirmionuli tipis elementaruli agznebebis sakiTxi\nu=1 SemTxvevaSi. Teoriuli Sedegebi kargad emTxveva eqsperimentul monacemebs didi zomisskirmionebis SemTxvevaSi. mcire zomis skirmionebis sakiTxi ganxilulia kinematikis doneze.naCvenebia, rom am SemTxvevaSi didi mniSvneloba aqvs arakomutaciur efeqtebs, rac calkeganxilvis sagania [39].gamokvleulia renorm-jgufis gantolebis maTematikuri aspeqtebi SeSfoTebis TeoriismaRal rigebSi kvantur qromodinamikaSi [186]. dadgenilia, rom muxtis analizuri TvisebebiarsebiTad damokidebulia kvarkebis aromatebis ricxvze. naCvenebia, rom aromatebis ricxvismniSvnelobis mixedviT Teoria SeiZleba aRwerdes or gansxvavebul fazas, Tumca am orive fazaSiTeoria asimptoturad Tavisufalia.proeqti # 1.5.04 _ homologiuri algebris da algebruli K-Teoriis zogierTi sakiTxiSemotanili da Seswavlilia multiplikaciuri lis algebrebis homologiis Teoriebi; gamokvleuliamultiplikaciuri lis algebrebis universaluri centraluri gafarToebebisTeoria. Semotanilia frCxilebiani algebris cneba, romelic azogadebs puasonis algebriscnebas; aseTi algebrebisaTvis agebulia Tavisufali algebrebi da kuilenis kohomologiebi.damtkicebulia, rom sasrulwarmomqmneliani erTTanafardobiani lis p-algebrebis kohomologiebiaris cikluri; aseTi lis p-algebrebis universaluri momvlebisaTvis damtkicebuliaTeoremebi amoxsnadobis, Tavisuflebis da griobner-birSovis bazisebis Sesaxeb. SeswavliliakategoriaSi dawevis da kodawevis morfizmebis efeqturoba. mocemulia sqemebis imkvazikompaqturi morfizmebis daxasiaTeba, romlebic aris efeqturi dawevis; damtkicebulia,rom nebismier srul meserebze gamdidrebuli separabeluri kategoria aris morita eqvivalenturiseparabeluri monoidis. grZeldeba muSaoba maRali rigis kategoriaSi maRali rigissust SeuRlebaze, maRali rigis susti kategoriis aqsiomatizaciaze da sust universalurkonstruqciebze. damtkicebulia magnus-vitis Teoremis araabeluri versia me-4 ganzomilebaSi.proeqti # 1.6.04 _ sasazRvro amocanebi usasrulo SualedSi da maTi gamoyenebaaraavtonomiur diferencialur gantolebaTa Tvisebriv TeoriaSimeore rigis arawrfivi singularuli diferencialuri gantolebebisaTvis napovnia optimaluripirobebi, romlebic saTanadod uzrunvelyofen knezeris amocanisa da usasrulobaSipirobebiani amocanis eqstremaluri amonaxsnebis (anu zeda da qveda amonaxsnebis) arsebobas[83,84].meore rigis wrfivi da arawrfivi funqcionalur-diferencialuri gantolebebisaTvis napovniaperioduli da orwertilovani sasazRvro amocanebis calsaxad amoxsnadobisa da amoxsnadobisaragaumjobesebadi sakmarisi pirobebi [194-197].emden-fauleris tipis ganzogadoebuli (cvladi xarisxis maCvenebliT) Cveulebrivi diferencialurigantolebisaTvis miRebulia A da B TvisebebisaTvis sakmarisi pirobebi, Camoyali-7

ebuli koeficientisa da xarisxis maCveneblis garkveuli kombinaciebis qveda zRvrebis terminebSi.miRebuli pirobebi garkveuli azriT gauumjobesebadia [149,179,180].proeqti # 1.7.04 _ mravalganzomilebiani furies analizi, banaxis funqciuri sivrceebicvalebadi maCveneblebiT da sasazRvro amocanebidadgenilia aucilebeli da sakmarisi piroba zomaze, romelic uzrunvelyofs zomis mimarTaRebuli potencialis SemosazRvrulobas wonian lebegis sivrceebSi. ganzogadebuliastein-veisis Teorema araerTgvarovani sivrceebisaTvis [63,177].lebegis wonian sivrceebSi dadgenilia jeradi calmxrivi potencialebis SemosazRvrulobisaucilebeli da sakmarisi pirobebi [33,176].dadgenilia aucilebeli da sakmarisi piroba wonaTa wyvilze, romlisTvisac erTze metian toli jeradi riman-liuvilis gardaqmna SemosazRvrulia erTi woniani sivrcidan meoreSi[176,193].dadgenilia kvaternionuli argumentis kvaternionuli funqciis C 2 -diferencirebadobisaucilebeli da sakmarisi piroba [33].damtkicebulia erTgvarovan sivrceze gansazRvruli maqsimaluri funqciis SemosazRvrulobacvladmaCveneblian lebegis sivrceebSi [63,64].karlesonis wirebze gansazRvruli susti singularuli integralisaTvis damtkicebuliasobolevis tipis Teorema cvladmaCveneblian lebegis sivrceebSi [87,88].Seswavlilia wrfivi SeuRlebis amocana uwyveti da uban-uban uwyveti koeficientebisSemTxvevaSi, rodesac amonaxsni iZebneba koSis tipis integraliT warmodgenad iseT funqciaTaklasSi, romelTa simkvrive cvladmaCvenebliani lebegis sivrcidanaa [173,174].gamovlenilia uban-uban liapunovis wirebiT SemosazRvruli iseTi areebi, romelSic harmoniulfunqciaTa smirnovis tipis klasebSi zarembas Sereuli sasazRvro amocanisaTvisgvaqvs amoxsnadobis iseTive suraTi, rogoric liapunovis sazRvris SemTxvevaSi [73].Seswavlilia wrfivi SeuRlebis sasazRvro amocana karlesonis tipis gaxsnili rkalisa-Tvis. erTgvarovani gantolebisaTvis uwyveti koeficientis SemTxvevaSi yovelgvari damatebiTipirobebis gareSe igeba fundamenturi amonaxsnebi. miRebuli indeqsis formula SeicavsboloebSi wiris brunvis damaxasiaTebel mudmivebs [48].harmoniul funqciaTa garkveuli klasisaTvis ganxilulia daxrilwarmoebuliani sasazRvroamocana im SemTxvevaSi, roca mimarTulebis ganmsazRvreli funqcia warmoadgens uban-ubangluv funqcias. dadgenilia amoxsnadobis pirobebi da miRebulia amonaxsnTa formulebi [199].proeqti # 1.8.04 _ lokaluri da aralokaluri amocanebi hiperboluri gantolebebisa dasistemebisaTvisgamokvleulia aralokaluri amocana paraboluri gadagvarebis mqone kvaziwrfivi gantolebebisklasebisaTvis, romelTac wertilTa garkveul simravleze ugvardebaT rigic. dadgeniliakoreqtuloba amocanebisa, romelTa pirobebis mzidi maxasiaTeblebic ar Sedian amonaxsnisgansazRvris areSi [50].meore rigis wrfivi hiperboluri sistemisaTvis ori damoukidebeli cvladis SemTxvevaSigamokvleulia zogierTi aralokaluri amocana [121].mesame rigis dominirebuli umcroswevrebiani wrfivi hiperboluri gantolebebisaTvisSeswavlilia gursas zogadi samganzomilebiani maxasiaTebeli amocana. dadgenilia misi koreqtulobissakmarisi pirobebi, romelTa darRvevisas Seswavlilia rogorc gantolebebSi,aseve sasazRvro pirobebSi monawile dabali rigis wevrebis zemoqmedebis efeqti. zogadi saxiswrfivi volteras pirveli gvaris organzomilebiani integraluri gantolebebi, romlebicgarkveuli azriT dakavSirebuli arian gansaxilvel amocanasTan, gamokvleulia ori gansxvavebulimeTodiT [155].proeqti # 1.9.04 _ pluri maqsvelisa da dirakis gantolebebi klifordis analizSiSeswavlilia maRali rigis kerZowarmoebulebiani diferencialuri gantolebebi klifordisanalizSi.8

proeqti # 1.10.04 _ pirdapiri da Seqceuli stoqasturi diferencialuri gantolebebi damaTi gamoyeneba albaTur-statistikur modelirebaSiganxilulia baiesur-martingaluri midgoma reJimis darRvevis momentis aRmoCenis zogadamocanaSi. ganxilul dasmaSi reJimis darRvevis momenti warmoadgens raime stoqastur baziszemocemuli ori zomis bifurkaciis SemTxveviT moments. gamoyvanilia Seqceuli areklilistoqasturi gantoleba dasmuli amocanis Sesabamisi optimaluri gaCerebis amocanis fasisaTvis.naCvenebia, rom vinerisa da puasonis procesebis darRvevis klasikur amocanebSi esgantoleba eqvivalenturia Tavisufal sazRvriani amocanisa paraboluri diferencialurioperatorisaTvis da diferencialur sxvaobiTi operatorisaTvis Sesabamisad [162,163].proeqti # 1.11.04 _ konfiguraciuli sivrceebis geometria da topologiamiRebulia kriteriumi, Tu rodis SeiZleba ganxorcieldes sasurveli wrfivi sistema mocemuliwrfivi sistemidan ukukavSiris meSveobiT [184].signalebis sivrce warmodgenilia rogorc moduli sakuTrivi racionaluri funqciebisrgolze, da am struqturis meSveobiT miRebulia wrfivi dinamiuri sistemebis aqsiomaturiaRwera [185].miRebulia martivi lis algebrebis karg graduirebaTa klasifikacia [135].Seswavlilia Sredingeris gantolebis marTvadobis sakiTxi da damtkicebulia marTvadobaramdenime konkretuli potencialisTvis. analogiuri Sedegebi miRebulia diferencialurigantolebebisTvis maryujTa jgufebze [166,167].proeqti # 1.12.04 _ proeqciuli da sasrul-sxvaobiani meTodebis mdgradoba da krebadobasingularuli integraluri gantolebebisa da elifsuri sasazRvro amocanebisaTvisdadgenilia proeqciul-iteraciuli meTodis mdgradoba erTi klasis singularul-integralurigantolebebisaTvis [133].mudmivkoeficientebiani samganzomilebiani konveqcia-difuziis gantolebisaTvis ganxiluliadirixles sasazRvro amocana 19-wertilian Sablonze. agebulia maRali rigis sizustissxvaobiani sqema. dadgenilia zusti amonaxsnis sigluvesTan SeTanxmebuli krebadobis siCqarisSefasebebi [118].proeqti # 1.13.04 _ Tanamgzavr-girostatis fardobiTi wonasworobani da ukumSvadsiTxeTa dinebis mdgradobis arawrfivi amocanebiSedgenilia Tanamgzavr-girostatis moZraobis gantolebebi, roca girostati moTavsebulialibraciis wertilSi. monaxulia misi fardobiTi wonasworobis gantolebebi. ukumSisiTxis dinebis mdgradobis amocanisaTvis dadgenilia transversaluri gradientis gavlenaor mbrunav forovan cilindrs Soris siTxis dinebis aramdgradobis safuZvelze warmoqmnilimeoradi dinebebis bifurkaciebze.proeqti # 1.14.04 _ “saqarTvelos maTematikuri Jurnalis” da Jurnal “memuarebi diferencialurgantolebebsa da maTematikur fizikaSi” saredaqcio samuSaoebi da originalmaketebismomzadeba2004 wels gamovida “saqarTvelos maTematikuri Jurnalis” 4 nomeri. gamovida Jurnalis“memuarebi diferencialur gantolebebsa da maTematikur fizikaSi” sami tomi: 31-e, 32-e da33-e.1.3. sazRvargareTuli grantebiT Sesrulebuli samuSaoebidamtkicebulia, rom Tu dadebiTi funqcia ar ekuTvnis zigmundis klass, maSin misi ergodulihilbertis gardaqmna araintegrebadia. miRebulia woniani ergoduli maqsimaluri tolobaarasingularuli nakadebisaTvis (CNR – NATO Grant No. 217.35 S _ l. efremiZe).dadgenilia orwoniani utolobebi oscilatoruli singularuli integralebisaTvis. Seswavliliaam integralebis metruli Tvisebebi (2 years Postdoc Fellowship of the "Scuola NormaleSuperiore" of Pisa, Italy _ a. mesxi).9

2. 2004 wels Catarebuli konferenciebisa da TaTbirebis Sesaxeb (ix. danarTi 1)3. 2004 wlis sagamomcemlo saqmianoba (ix. danarTi 2)4. TanamSromelTa mier 2004 wels gamoqveynebul naSromTa (monografia, wigni, krebuli)sia (ix. danarTi 3)5. 2004 wels gamoqveynebuli da gamosaqveyneblad gadacemuli Sromebi (ix. danarTi 4)6. 2004 wels samecniero forumebze wakiTxuli moxsenebebis Tezisebi (ix. danarTi 5)7. saerTaSoriso samecniero TanamSromloba (ix. danarTi 6)8. institutis samecniero da samecniero-saorganizacio saqmianobainstitutis samecniero sabWos sxdomebze ganixileboda samecniero da samecniero-saorganizaciosakiTxebi. Catarda aspirantebisa da maZieblebis yovelwliuri atestacia.institutTan arsebul samecniero xarisxebis mimniWebel specializirebul sabWoze (sadisertaciosabWo Ph. M. 01. 01 # 1) dacul iqna erTi sakandidato disertacia.institutSi muSaobda 10 samecniero da samecniero-saswavlo seminari.2004 wels aspiranturidan amoiricxa erTi aspiranti (g. baRaTuria), gairicxa ori aspiranti(d. vaSakaSvili da v. kinwuraSvili); sakandidato disertaciis warmodgenasTan dakavSirebiTaspirantura vadaze adre daamTavra erTma aspirantma (g. WavWaniZe). 2004 wels aspiranturaSiCairicxnen S. melaZe da z. janeliZe.saangariSo periodSi sadoqtoro disertacia daicva institutis TanamSromelma g. berikelaSvilma,xolo sakandidato _ institutis TanamSromelma g. WavWaniZem da institutismaZiebelma n. manjaviZem.saangariSo periodSi institutis biblioTeka Seivso 318 beWdviTi erTeuliT (276 Jurnalida 42 wigni). 2004 wlis 31 dekembrisaTvis institutis biblioTekis fondSi aris 94477 beWdvi-Ti erTeuli, aqedan 63698 Jurnali da 30779 wignia.institutis direqtori, akademikosiswavluli mdivani, fizika-maTematikismecnierebaTa kandidati, docentii. kiRuraZen. farcvania11

danarTi 12004 wels Catarebuli konferenciebisa da TaTbirebis Sesaxeba. razmaZis saxelobis maTematikis instituti# RonisZiebis dasaxelebamonawileTa raodenobasulmaT SorisucxoqveynebidanCatarebisdro(Tve, ricxvi)SeniSvna1. akademikos giorgiWoRoSvilis dabadebidan90 wlisTavisadmi miZRvnilisaerTaSoriso konferencia“topologiur sivrceTa dafibraciaTa algebruli modelebi”40 10 seqtemberi,13-18Catarda ISPM-is (fizikisada maTematikis saerTa-Soriso skola) programiTinstitutis direqtori, akademikosiswavluli mdivani, fizika-maTematikismecnierebaTa kandidatii. kiRuraZen. farcvania12

danarTi 2a. razmaZis saxelobis maTematikis institutis 2004 wlissagamomcemlo saqmianoba# Jurnalis dasaxeleba redaqtori1.2.3.“Proceedings of A. RazmadzeMathematical Institute”, vol. 134(inglisur enaze)“Proceedings of A. RazmadzeMathematical Institute”, vol. 135(inglisur enaze)“Proceedings of A. RazmadzeMathematical Institute”, vol. 136(inglisur enaze)gamomcemloba,gamomcemlobis adgiliv. kokilaSvili gamomcemloba “jisiai”,Tbilisiv. kokilaSvili gamomcemloba “jisiai”,Tbilisiv. kokilaSvili gamomcemloba “jisiai”,Tbilisiinstitutis direqtori, akademikosiswavluli mdivani, fizika-maTematikismecnierebaTa kandidatii. kiRuraZen. farcvania13

danarTi 3a. razmaZis saxelobis maTematikis institutis TanamSromelTa mier2004 wels gamoqveynebul naSromTa sia#naSromis dasaxeleba(monografia, wigni, krebuli)1. “racionaluri warmodgenebi,stinrodis algebra dafunqtorTa homologia”(inglisur enaze)2. “zogierTi axali Sedegi mravalinamdvili cvladis funqciaTauwyvetobisa dadiferencirebadobis Sesaxeb”(inglisur enaze)avtoriv. franJu, e. fridlenderi,T. firaSvili dal. Svarcigamomcemloba,gamomcemlobis adgiligamomcemloba “S. M. F.Panoramas et Synthèses”,parizio. ZagniZe “Proceedings of A. RazmadzeMathematical Institue”,vol. 134,gamomcemloba “jisiai”,Tbilisiinstitutis direqtori, akademikosiswavluli mdivani, fizika-maTematikismecnierebaTa kandidatii. kiRuraZen. farcvania14

a. razmaZis saxelobis maTematikis instituti2004 wels gamoqveynebuli Sromebis siadanarTi 4(i) monografiebi1. O. Dzagnidze, Some new results on the continuity and differentiability of functions of several realvariables. Proc. A. Razmadze Math. Inst. 134 (2004), 1-138.2. V. Franjou, E. M. Friedlander, T. Pirashvili, and L. Schwartz, Rational representations, the Steenrodalgebra and functor homology. S. M. F. Panoramas et Synthèses, 16. Paris, 2004.(ii) samecniero statiebi3. R. Agarwal and I. Kiguradze, On multi-point boundary value problems for linear ordinarydifferential equations with singularities. J. Math. Anal. Appl. 297 (2004), 131-151.4. T. Aliashvili and G. Khimshiashvili, Integrable systems and intersections of quadrics. Proc. Inst.Cybernetics Georgian Acad. Sci. 3 (2004), No.1-2, 63-72.5. J. Baacke and G. Lavrelashvili, One-loop corrections to the metastable vacuum decay. Phys. Rev.D69 (2004), 025009; [arXiv:hep-th/0307202].6. M. Bakuradze and S. Priddy, Transferred Chern classes in Morava K-theory. Proc. Amer. Math. Soc.132 (2004), No. 6, 1855-1860 (electronic).7. R. Bantsuri, On a cut of a picewise-homogeneous orthotropic plane. Proc. A. Razmadze Math. Inst.135 (2004), 41-47.8. H.-J. Baues and M. Jibladze, The Steenrod algebra and theories associated to Hopf algebras.Homotopy theory. Appl. Categ. Structures 12 (2004), No. 1, 109-126.9. N. Berikashvili and M. Mikiashvili, The predifferential of a path fibration. Georgian Math. J. 11(2004), No. 3, 415-424.10. N. Bezhanishvili, Varieties of two-dimensional cylindric algebras, II. Algebra Universalis 51(2004), No. 2-3, 177-206.11. N. Bezhanishvili, De Jongh’s characterization of intuitionistic propositional calculus. Festschriftfor Dick de Jongh, University of Amsterdam, 2004.12. N. Bezhanishvili and B. ten Cate, Transfer results for hybrid logic. Part I: the case withoutsatisfaction operators. ILLC, University of Amsterdam, PP-2004-06.13. N. Bezhanishvili, B. ten Cate, M. Marx, and P. Viana, Sahlqvist theory and transfer results forhybrid logic. Proceedings of Advances in Modal Logic, Manchester, 2004, 44-62.14. G. Bezhanishvili, L. Esakia, and D. Gabelaia, Modal logic of submaximal and Nodec spaces.Festschrift for Dick de Jongh, University of Amsterdam, 2004, 1-13.15. N. Bezhanishvili and I. Hodkinson, All normal extensions of S5-squared are finitely axiomatizable.Studia Logica 78 (2004), 443-457.16. B. Blankleider and A. N. Kvinikhidze, Equivalence of light front and conventional thermal fieldtheory. Phys. Rev. D 69 (2004), 125005.17. B. Blankleider and A. N. Kvinikhidze, Comment on light front Schwinger moderl at finitetempertature. Phys. Rev. D 69 (2004), 128701.18. B. Bojarski and G. Khimshiashvili, The geometry of Fredholm pairs and linear conjugationproblems. Mem. Differential Equations Math. Physics 33 (2004), 25-45.19. D. Bourn and G. Janelidze, Extensions with Abelian kernels in protomodular categories. GeorgianMath. J. 11 (2004), No. 4, 645-654.20. P. Breitenlohner, D. Maison, and G. Lavrelashvili, Non-Abelian gravitating solitons with negativecosmological constant. Class. Quant. Grav. 21 (2004), 1667; [arXiv:gr-qc/0307029].21. B. Broda, G. Duniec, and G. Khimshiashvili, The non-Abelian Stokes theorem in low dimensions.Mem. Differential Equations Math. Phys. 31 (2004), 5-14.15

22. R. Brown and G. Janelidze, Galois theory and a new homotopy double groupoid of a map ofspaces. Homotopy theory. Appl. Categ. Structures 12 (2004), No. 1, 63-80.23. W. Bruns and J. Gubeladze, Polytopes and K-theory. Georgian Math. J. 11 (2004), No. 4, 655-670.24. T. Buchukuri, O. Chkadua, and R. Duduchava, Crack-type boundary value problems ofelectroelasticity. Operator Theoretical Methods and Applications to Mathematical Physics. The ErhardMeister Memorial Volume, Operator Theory: Advances and Applications, Vol. 147, Birkhuser, Basel,2004, 189-212.25. M. Bunge, J. Funk, M. Jibladze, and T. Streicher, Definable completeness. Cahiers de Topologie etGéométrie Différentielle Catégoriques XLV-4 (2004), 243-266.26. J. M. Casas, M. Ladra, and T. Pirashvili, Crossed modules for Lie-Rinehart algebras. J. Algebra274 (2004), No. 1, 192-201.27. L. P. Castro, R. Duduchava, and F.-O. Speck, Localization and minimal normalization of mixedboundary value problem. Factorization, Singular Operators and Related Problems, Proceedings of theConference in Honour of Professor Georgii Litvinchuk at Funchal, Portugal, 2002, 73-100, Kluwer,Dordrecht, 2004.28. G. Chavchanidze, Non-Noether symmetries in integrable models. J. Phys. A: Math. Gen. 37(2004), 2253-2260, math-ph/0307018.29. M. M. Clementino, G. Janelidze, and D. Hofmann, Local homeomorphisms via ultrafilterconvergence. Proc. Amer. Math. Soc. 133 (2004), No. 3, 917–922.30. D. Conduché, H. Inassaridze, and N. Inassaridze, Mod q cohomology and Tate-Vogel cohomologyof groups. J. Pure Appl. Algebra 189 (2004), No. 1-3, 61-87.31. T. Datuashvili, Witt’s theorem for groups with action and free Leibniz algebras. Georgian Math. J.11 (2004), No. 4, 691-712.32. Y. Domshlak, N. Partsvania, and I. P. Stavroulakis, Oscillation properties of first order neutraldifferential equations near the critical states. Nonlinear Funct. Anal. & Appl. 9 (2004), No. 2, 173-184.33. O. Dzagnidze, Relation between the continuity of a function gradient and the finiteness of itsstrong gradient. Proc. A. Razmadze Math. Inst. 135 (2004), 57-59.34. D. E. Edmunds, V. Kokilashvili, and A. Meskhi, A trace inequality for generalized potentials inLebesgue spaces with variable exponent. J. Funct. Spaces Appl. 2 (2004), No. 1, 55-69.35. L. Ephremidze, The Stein-Weiss theorem for the ergodic Hilbert transform. Studia Math. 165(2004), No. 1, 61-71.36. L. Ephremidze, A new proof of the ergodic maximal equality. Real Anal. Exchange 29 (2003/04),No. 1, 409-411.37. L. Ephremidze, G. Janashia, and E. Lagvilava, A new computational algorithm of spectralfactorization for polynomial matrix-functions. Proc. A. Razmadze Math. Inst. 136 (2004), 41-46.38. L. Esakia, Intuitionistic logic and modality via topology. Provinces of logic determined. Ann. PureAppl. Logic 127 (2004), No. 1-3, 155-170.39. Z. F. Ezawa and G. Tsitsishvili, SU(4) skyrmions and activation energy anomaly in bilayerquantum Hall systems. Phys. Rev. B 70 (2004), 125304.40. V. Franjou and T. Pirashvili, Comparison of abelian categories recollements. Doc. Math. 9 (2004),41-56.41. D. Gabelaia, A. Kurucz, and M. Zakharyaschev, Products of transitive modal logics without the(abstract) finite modal property. Proceedings of AiML, 2004, September 2004, Manchester, U.K.42. A. Gachechiladze, On the uniqueness of solutions of some quasi-variational inequalities fromcontrol theory. Georgian Math. J. 11 (2004), No. 2, 229-242.43. G. Giorgadze and G. Khimshiashvili, On Schrödinger equations of Okubo type. J. Dynam. ControlSystems 10 (2004), No. 2, 171-186.44. Z. Giunashvili, Noncommutative geometry of phase space. J. Math. Sci. (N. Y.) 119 (2004), No. 4,459-493.45. Z. Giunashvili, Noncommutative geometry of Poisson structures. New developments inmathematical physics research, 1-25, Nova Sci. Publ., Hauppauge, NY, 2004.46. Z. Giunashvili, Noncommutative symplectic foliation, Bott connection and phase space reduction.Georgian Math. J. 11 (2004), No. 2, 255-282.16

47. L. Gogolauri, On one mixed type contact problem for an elastic anisotropic half-plane. Proc.A. Razmadze Math. Inst. 135 (2004), 73-78.48. E. Gordadze, On a boundary value problem of linear conjugation for unclosed arcs of the class R.Proc. A. Razmadze Math. Inst. 136 (2004), 137-140.49. J. Gubeladze, Toric varieties with huge Grothendieck group. Adv. Math. 186 (2004), No. 1, 117-124.50. J. Gvazava, The mean value property for nonstrictly hyperbolic second order quasilinear equationsand the nonlocal problems. Proc. A. Razmadze Math. Inst. 135(2004), 79-92.51. A. Gvelesiani, R. Tsitskishvili, and A. Tsitskishvili, Some aspects of the Earth’s dynamics in lightof the tidal forces. J. Georgian Geophys. Soc. 8A (2004), 117-119.52. A. Gvelesiani, R. Tsitskishvili, and A. Tsitskishvili, On the mechanism of the Earth’s hydromagneticdynamo. J. Georgian Geophys. Soc. 8B (2004), 146-148.53. A. Gvelesiani, R. Tsitskishvili, and A. Tsitskishvili, Some aspects of the magnetic geodynamo andgeodynamics problems. (Russian) Trudy inst-ta geofiziki AN Gruzii 58 (2004).54. G. Janelidze, M. Sobral, and W. Tholen, Beyond Barr exactness: effective descent morphisms.Categorical foundations, 359-405, Encyclopedia Math. Appl., 97, Cambridge Univ. Press, Cambridge,2004.55. G. Janelidze and W. Tholen, Facets of descent III: Monadic descent for rings and algebras. Appl.Categ. Structures 12 (2004), No. 5-6, 461-477.56. O. Jokhadze, Laplace invariants for some classes of linear partial differential equations. (Russian)Differentsial’nye Uravneniya 40 (2004), No.1, 58-68.57. G. Jorjadze, S-matrix, vertex operators and correlation functions of Liouville theory. Fortschr.Phys. 52 (2004), No. 6-7, 555-560.58. G. Jorjadze and G. Weigt, Correlation functions and vertex operators of Liouville theory. Phys.Lett. B 581 (2004), 133.59. G. Jorjadze and G. Weigt, The Liouville field theory zero-mode problem. (Russian) Teor. Mat.Fiz. 139 (2004), 654; English transl.: Theor. Math. Phys. 139 (2004), 245.60. T. Kadeishvili, Measuring the noncommutativity of DG-algebras. Topology and noncommutativegeometry. J. Math. Sci. (N. Y.) 119 (2004), No. 4, 494-512.61. K. Kalashnikov and G. Khimshiashvili, Stochastically independent functions on closed surfaces.Bull. Georgian Acad. Sci. 170 (2004), No. 2, 235-238.62. T. Kandelaki, Karoubi-Villamayor K-theory, weakly stable C*-categoroids and KK-theory.Georgian Math. J. 11 (2004), No. 2, 283-299.p( x)63. M. Khabazi, Maximal operators in weighted L spaces. Proc. A. Razmadze Math. Inst. 135(2004), 143-144.p( x)64. M. Khabazi, Maximal functions in weighted L spaces. Proc. A. Razmadze Math. Inst. 135(2004), 145-146.65. S. Kharibegashvili, A multidimensional version of the Darboux problem for a model degeneratingsecond-order hyperbolic equation. (Russian) Differentsial’nye Uravneniya 40 (2004), No. 4, 565-573;English transl.: Differ. Equations 40 (2004), No. 4, 610-619.66. G. Khimshiashvili, Multidimensional residues and polynomial equations. Contemp. Math. Applic.15 (2004), 71-120.67. G. Khimshiashvili, New applications of algebraic formulae for topological invariants. GeorgianMath. J. 11 (2004), No. 4, 759-770.68. G. Khimshiashvili, Surfaces as intersections of quadrics. (Russian) Dokl. Ross. Akad. Nauk 399(2004), No. 2, 1-3.69. G. Khimshiashvili, Analytic discs in loop spaces. Bull. Georgian Acad. Sci. 169 (2004), No. 3,443-446.70. G. Khimshiashvili, Elementary algebraic geometry in geometric algebras. Bull. Georgian Acad.Sci. 170 (2004), No. 1, 5-8.71. G. Khimshiashvili, Three-sphere as a holomorphic curve. Proc. Inst. Cybernetics Georgian Acad.Sci. 3 (2004), No. 1-2, 53-62.72. G. Khimshiashvili and D. Siersma, Remarks on minimal round functions. Geometry and topologyof caustics – CAUSTICS’02, 159-172, Banach Center Publ., 62, Polish Acad. Sci., Warsaw, 2004.17

73. G. Khuskivadze and V. Paatashvili, On Zaremba’s boundary value problem for harmonic functionsof Smirnov classes. Mem. Differential Equations Math. Phys. 32 (2004), 29-58.74. G. Khuskivadze and V. Paatashvili, On a property of harmonic functions from the Smirnov class.Mem. Differential Equations Math. Phys. 33 (2004), 87-94.75. G. Khuskivadze and V. Paatashvili, On the conformal mapping of simply connected domains withnon-Jordan boundaries. Proc. A. Razmadze Math. Inst. 136 (2004), 85-90.76. G. Khuskivadze and V. Paatashvili, On the Dirichlet problem for harmonic functions of Smirnovclasses in doubly-connected domains. Proc. A. Razmadze Math. Inst. 136 (2004), 141-144.77. A. M. Khvedelidze, On the Hamiltonian formulation of gauge theories in terms of physicalvariables. J. Math. Sci. (N. Y.) 119 (2004), No. 4, 513-555.78. A. Khvedelidze, A. Kovner, and D. McMullan, The Higgs field and the ultraviolet behaviour of thevortex operator in 2 + 1 dimensions. J. High Energy Phys. 2004, No. 7, 003, 16 pp. (electronic);[arXiv:hep-th/0405122].79. I. Kiguradze, On periodic type solutions of systems of linear ordinary differential equations. Abstr.Appl. Anal. 2004, No. 5, 395-406.80. I. Kiguradze, On two-point boundary value problems for higher order singular ordinary differentialequations. Mem. Differential Equations Math. Phys. 32 (2004), 101-107.81. Kiguradze, On the solvability of nonlinear operator equations in a Banach space. Mem. DifferentialEquations Math. Phys. 32 (2004), 127-130.82. I. Kiguradze and S. Mukhigulashvili, On nonlinear boundary value problems for two-dimensionaldifferential systems. (Russian) Differentsial’nye Uravneniya 40 (2004), No. 6, 747-755; English transl.:Differ. Equations 40 (2004), No. 6, 797-806.83. I. Kiguradze and N. Partsvania, On vanishing at infinity solutions of second order differentialequations. Mem. Differential Equations Math. Phys. 32 (2004), 129-135.84. I. Kiguradze and N. Partsvania, On lower and upper solutions of the Kneser problem. Mem.Differential Equations Math. Phys. 32 (2004), 155-158.85. V. Kokilashvili, On the solvability of divergence equation in the theory of incompressible fluids.Mem. Differential Equations Math. Phys. 31 (2004), 131-134.86. V. Kokilashvili and A. Meskhi, On a trace inequality for one-sided potentials with multiplekernels. Fract. Calc. Appl. Anal. 6 (2003/2004), No. 4, 461-472.p( x)87. V. Kokilashvili and S. Samko, Maximal and fractional operators in weighted L spaces. Rev.Mat. Iberoamericana 20 (2004), No. 2, 493-515.88. V. Kokilashvili and S. Samko, Sobolev theorem for potentials on Carleson curves in variableLebesgue spaces. Mem. Differential Equations Math. Phys. 33 (2004), 157-158.89. R. Koplatadze, On higher order functional differential equations with property A. Georgian Math.J. 11 (2004), No. 2, 307-336.90. S. Kukujanov, The oscillations and dynamical stability of shells of rotation, close to cylindricalones, stressed by meridional forces. (Russian) Izv. Ros. Akad. Nauk. MTT, 2004, No. 6.91. V. Lomadze, On duality for partial differential (and difference) equations. J. Algebra 275 (2004),No. 2, 791-800.92. M. Mania, M. Santacroce, and R. Tevzadze, The Bellman equation related to the minimal entropymartingale measure. Georgian Math. J. 11 (2004), No. 1, 125-135.93. B. Mesablishvili, Descent theory for schemes. Appl. Categ. Structures 12 (2004), 485-512.94. B. Mesablishvili, Every small SL-enriched category is Morita equivalent to an SL-monoid. TAC 13(2004), 169-171.95. A. Meskhi, On two-weight inequalities for multiple Hardy-type operators. Proc. A. RazmadzeMath. Inst. 136 (2004), 149-153.96. S. Mukhigulashvili, On the unique solvability of the Dirichlet problem for a linear functionaldifferential equation of second order. (Russian) Differentsial’nye Uravneniya 40 (2004), No. 4, 477-484.97. S. Saneblidze and R. Umble, Diagonals on the permutahedra, multiplihedra and associahedra. HomologyHomotopy Appl. 6 (2004), No. 1, 363-411.98. L. Shapakidze, On the stability of couette flow between two rotating cylinders in the presence of atransverse pressure gradient. Proc. A. Razmadze Math. Inst. 136 (2004), 115-126.18

99. M. Shashiashvili, A. Danelia, and B. Dochviri, On new energy estimates for the multidimensionalobstacle problem. Mem. Differential Equations Math. Phys. 31 (2004), 15-34.100. T. Shervashidze, Limit theorems for weighted sums of independent identically distributed randomvectors. Proc. A. Razmadze Math. Inst. 136 (2004), 129-136.101. T. Toronjadze and G. Meladze, On the innovation of continuous multidimensionalsemimartingale. Information modeling in finance. Proc. A. Razmadze Math. Inst. 134 (2004), 15-45.102. Z. Tsigroshvili, Compound sums and counting processes. Proc. A. Razmadze Math. Inst. 135(2004), 29-38.103. A. Tsitskishvili, Extension of the class of effectively solvable two-dimensional problems withpartially unknown boundaries in the theory of filtration. Mem. Differential Equations Math. Phys. 32(2004), 89-126.2004 wels gamosaqveyneblad gadacemuli Sromebis sia(i) samecniero statiebi104. R. Agarwal and I. Kiguradze, Two-point boundary value problems for higher order lineardifferential equations with strong singularities. Boundary Value Problems (accepted).105. T. Aliashvili and G. Khimshiashvili, On the Euler characteristic of intersection of quadrics.(Russian) Uspekhi Mat. Nauk (submitted).106. D. Arlettaz and H. Inassaridze, Finite K-theory spaces. Proc. Cambridge Phil. Soc. (accepted).107. M. Bakuradze and S. Priddy, Morava K-theory rings for modular groups. Proc. Amer. Math. Soc.(submitted).108. M. Bakuradze and V. Vershinin, Morava K-theory rings for dihedral, semidihedral andgeneralized quaternion groups. Proc. Amer. Math. Soc. (submitted).109. R. Bantsuri, About the elastic-plastic problem with part-unknown boundaries. Proc. A. RazmadzeMath. Inst. (to appear).110. R. Bantsuri and F. Criado-Alduanueva, The solution of mixed problem of plane theory ofelasticity for bodies with part-unknown boundaries. (Russian) Prikl. Math. i Mech. (submitted).111. R. Bantsuri and N. Shavlakadze, The bending problem of beam lying on the elastic basis.(Russian) Prikl. Math. i Mech., 2005, No. 2; English transl.: J. Appl. Math. Mech., 2005, No. 2. (toappear).112. F. W. Bauer and T. Datuashvili, On the existence of certain limits in the category of chainfunctors. Pure Appl. Algebra (submitted).113. H.-J. Baues and M. Jibladze, Secondary derived functors and the Adams spectral sequence.Topology (to appear).114. H.-J. Baues and M. Jibladze, Computation of the E3term of the Adams spectral sequence.Topology (to appear).115. N. Berikashvili, Second obstruction functor. Georgian Math. J. (to appear).116. N. Berikashvili, On the second classification theorem. Bull. Georgian Acad. Sci. (to appear).117. G. Berikelashvili, To a nonlocal generalization of the Dirichlet problem. J. Ineq. Appl. (accepted).118. G. Berikelashvili, On convergence of high accuracy difference schemes for the 3D convectiondiffusionequation. SIAM J. Numer. Anal. (submitted).119. G. Bezhanishvili, L. Esakia, and D. Gabelaia, C-logics and d-logics of submaximal and Nodecspaces. Studia Logic (to appear).120. B. Blankleider and A. N. Kvinikhidze, Generalized parton distributions for dynamical equationmodels. Phys. Rev. D (submitted).121. G. Bogveradze and S. Kharibegashvili, On some nonlocal problems for a hyperbolic equation ofsecond order on a plane. Proc. A. Razmadze Math. Inst. (accepted).122. B. Bojarski and G. Khimshiashvili, The geometry of Kato Grassmannians. Central European Sci.J. (submitted).19

123. F. Borceux, G. Janelidze, and G. M. Kelly, Internal object actions. Comment. Math. Univ.Carolin. (to appear).124. T. Buchukuri, O. Chkadua, D. Natroshvili, and A.-M. Sändig, Mathematical problems related tothe interaction of metallic and piezoelectric elastic materials. Math. Methods Appl. Sci. (to appear).125. T. Buchukuri, O. Chkadua, D. Natroshvili, and A.-M. Sändig, Interaction problems of metallicand piezoelectric materials with regard to thermal stresses. Math. Methods Appl. Sci. (to appear).126. I. Bukhnikashvili, On one method of an approximate solution of Chebyshev’s problem on twosegments. J. Computational Mathematics and Mathematical Physics (submitted).127. J. M. Casas, N. Inassaridze, E. Khmaladze, and M. Ladra, Homology of ( n +1)-types and Hopftype formulas. J. Pure Appl. Algebra (to appear).128. J. M. Casas, M. Ladra, and T. Pirashvili, Triple cohomology of Lie-Rinehart algebras and thecanonical class of associative algebras. J. Algebra (to appear).129. L. P. Castro, R. Duduchava, and F.-O. Speck, Finite interval convolution operators withtransmission property. Instituto Superior Tecnico, Preprint 1/2003. Integral Equations Operator Theory(to appear).130. O. Chkadua, S. Mikhailov, and D. Natroshvili, Analysis of direct boundary-domain integralequations for a mixed BVP with variable coefficient. J. Math. Anal. Appl. (to appear).131. R. Duduchava, R. Kirsch, and S. Rjasanow, On estimates of the Boltzmann collision operatorwith angular cutoff. J. Math. Fluid Mech. (to appear).132. R. Duduchava and S. Rjasanow, Mapping properties of the Boltzmann collision operator.Universität des Saarlandes, achrichtung 6.1 – Mathematik, Preprint 32, 1-30, Saarbrüken, 2001; IntegralEquations Operator Theory (to appear).133. A. Dzhishkariani, An approximate solution of one class of singular integral equations. Mem.Differential Equations. Math. Phys. (accepted).134. A. Elashvili and V. Kac, Classification of good gradings in simple Lie algebras. Proc. Seminar ofLie groups and algebras A.M.S Publishing (submitted).135. A. Elashvili and V. Kac, Classification of good gradings in simple super Lie algebras. Amer.Math. Soc. Transl. Ser 2, vol. 40 (to appear).136. L. Ephremidze, On the uniqueness of the two-sided ergodic maximal functions. Georgian Math.J. (to appear).137. L. Ephremidze and R. Sato, A weighted ergodic maximal equality for nonsingular semiflows.Colloq. Math. (submitted).138. L. Ephremidze and R. Sato, On the generalization of the Riesz-Zygmund theorem for the ergodicHilbert transform. Proc. Amer. Math. Soc. (submitted).139. Z. F. Ezawa, M. Eliashvili, and G. Tsitsishvili, Ground state structure in ν = 2 bilayer quantumHall systems. Phys. Rev. B (submitted).140. D. Gabelaia, R. Kontchakov, A. Kurucz, F. Wolter, and M. Zakharyaschev, Combining spatialand temporal logics: expressiveness vs. complexity. J. Artificial Intelligence Res. (to appear).141. D. Gabelaia, A. Kurucz, F. Wolter, and M. Zakharyaschev, Non-primitive recursive decidabilityof products of modal logics with expanding domains. Ann. Pure Appl. Logic (submitted).142. D. Gabelaia, A. Kurucz, F. Wolter, and M. Zakharyaschev, Products of “transitive” modal logics.J. Symbolic Logic (submitted).143. A. Gachechiladze, About monotonicity method in implicit obstacle problems. Proc. A. RazmadzeMath. Inst. (to appear).144. R. Gachechiladze, Interior and exterior problems with friction in the couple-stress elasticity.Georgian Math. J. (to appear).145. V. Garsevanishvili, On the multiplicity of charged hadron secondaries in the collisions ofrelativistic nuclei. Proc. Tbilisi State University (submitted).146. A. Garzon, H. Inassaridze, and A. del Rio, Derivations of categorical groups. TAC (accepted).147. V. Gerdt, R. Horan, A. Khvedelidze, M. Lavelle, D. McMullan, and Yu. Palli, Maurer-Cartanform on SU(3) group and Yang-Mills equations. J. Math. Phys. (submitted).148. Z. Giunashvili, Geometric control methods for quantum computations. J. Math. Sci. (to appear).149. J. Graef, R. Koplatadze, and G. Kvinikadze, Nonlinear functional differential equations withproperties A and B. J. Math. Anal. Appl. (accepted).20

150. J. Gubeladze, The nilpotence conjecture in K-theory of toric varieties. Inventiones in Math.(accepted).151. R. Hakl and S. Mukhigulashvili, On a boundary value problem for n-th order linear functionaldifferential systems. Georgian Math. J. (accepted).152. R. Hakl and S. Mukhigulashvili, On one estimate for a periodic functions. Georgian Math. J.(accepted).153. H. Inassaridze, Equivariant homology and cohomology of groups. Topology Appl. (accepted).154. H. Inassaridze, More about (co)homology of groups and associative algebras. HomologyHomotopy Appl. (accepted).155. O. Jokhadze, On the three-dimensional generalized Goursat problem for equations of third orderand related general two-dimensional integral equations of Volterra first kind. (Russian) Differentsial’nyeUravneniya (submitted).156. O. Jokhadze, High order special hyperbolic equations with dominated lower terms. (Russian) Izv.Vyssh. Uchebn. Zaved. MATEMATIKA (submitted).157. N. Jorbenadze, R. Tsitskishvili, and A. Tsitskishvili, The solutions of problems of the theory offiltration through the earth coffer dam of trapezoidal form and that of the problem on ground water influxto adrainge ditch of frangular form with hydrostatic head. Proc. of Tbilisi University, Math. Mech. Abstr.(submitted).158. T. Kadeishvili, Twisting cochains in homotopy G-algebras. J. Pure Appl. Algebra (submitted).159. T. Kandelaki, Algebraic K-theory view on KK-theory. K-Theory (to appear).160. D. Kapanadze, Elastic potentials at corners in Sobolev spaces with asymptotics. Math. MethodsAppl. Sci. (to appear).161. D. Kapanadze and B.-W. Schulze, Boundary-contact problems for domains with conicalsingularities. Preprint 2004/11, Institute für Mathematik, Uni-Potsdam, 2004; J. Differential Equations(to appear).162. T. Kavtaradze, N. Lazrieva, and M. Mania, Disorder problem for continuous martingales. Proc.A. Razmadze Math. Inst. (to appear).163. T. Kavtaradze, N. Lazrieva, M. Mania, and P. Mulliere, A Bayesian-Martingale approach to thegeneral disorder problem. Ann. Probability (submitted).164. S. Kharibegashvili, On the existence or the absence of global solutions of the Cauchycharacteristic problem for some nonlinear hyperbolic equations. Boundary Value Problems (accepted).165. S. Kharibegashvili, On the absence of global solutions of the Cauchy characteristic problem for anonlinear hyperbolic equation in the conic domain. (Russian) Differentsial’nye Uravneniya (accepted).166. G. Khimshiashvili, Holomorphic tubes and isolated singularities. Bull. Georg. Acad. Sci. (toappear).167. G. Khimshiashvili, Fredholm structures on loop spaces. (Russian) Dokl. Ross. Akad. Nauk(submitted).168. G. Khimshiashvili, Elliptical boundary value problems for generalized Cauchy-Riemann systems.(Russian) Dokl. Ross. Akad. Nauk (submitted).169. G. Khimshiashvili, Holomorphic tubes in Cauchy-Riemann manifolds. Complex Variables TheoryAppl. (submitted).170. G. Khimshiashvili, Holomorphic dynamics in loop spaces. J. Dynam. Control Systems(submitted).171. G. Khimshiashvili and E. Wegert, Holomorphic curves and Riemann-Hilbert problems in loopspaces. J. Appl. Func. Anal. (submitted).172. I. Kiguradze and B. Puža, On two-point boundary value problems for second order singularfunctional differential equations. Functional Differential Equations (accepted).173. V. Kokilashvili, On a progress in the theory of integral operators in weighted Banach functionspaces. Proc. Function spaces, Differential Operators & Nonlinear Analysis (to appear).174. V. Kokilashvili and A. Meskhi, Two-weighted criteria for integral transforms with multiplekernels. Proc. Banach Centre Conf. (to appear).175. V. Kokilashvili and A. Meskhi, On weighted inequalities for fractional integrals onnonhomogeneous spaces. Z. Anal. Anwendungen (submitted).21

danarTi 5a. razmaZis saxelobis maTematikis instituti2004 wels samecniero forumebze wakiTxuli moxsenebebis Tezisebi1. G. Jorjadze, Particle dynamics and propagators in AdS spaces. Abstracts of the 36-th InternationalSymposium “Ahrenshoop on the Theory of Elementary Particles. Recent Developments in String/MTheory and Field Theory”, Berlin, Germany, August 23-27, 2004.2. I. Kiguradze, On boundary value problems for ordinary differential equations with strongsingularities. Abstracts of the International Conference "Differential Equations and Related Topics,"dedicated to Ivan G. Petrovskii, Moscow, Russia, May 16-22, 2004.3. V. Kokilashvili, On a progress in the theory of integral operators in weighted Banach functionspaces. Abstracts of the International Conference “Function Spaces, Differential Operators andNonlinear Analysis” - FSDONA 2004, Svratra, Czech republic, May 27 – June 2, 2004.4. G. Lavrelashvili, One-loop corrections to false vacuum decay. "Quarks-2004", Pushkinskie Gory,Russia, May 29, 2004.5. G. Lavrelashvili, Non-Abelian gravitating solitons with negative cosmological constant. Abstractsof the DESY Theory Workshop 2004, "Particle Cosmology", Hamburg, Germany, September 30, 2004.6. A. Meskhi, Fractional integrals on nonhomogeneous spaces. Abstracts of the 7 th InternationalConference on Harmonic Analysis and Partial Differential Equations, Madrid, Spain, June 21-25, 2004.7. A. Meskhi, On fractional integrals. Abstracts of the European Math. Soc. Conference “Analysis onMetric Spaces, Babach Center, Bedlewo, Pland, July 15-23, 2004.8. N. Partsvania, On bounded solutions of second order nonautonomous nonlinear differentialequations. Abstracts of the Fourth European Congress of Mathematics, Stockholm, Sweden, June 27 -July 2, 2004, http://www.math.kth.se/4ecm/abstracts/8.15.pdf.9. R. Sulikashvili, Stationary motions of bodies possessing spherical tensor of inertial and symmetrygroups of regular polyhedra. First International Symposium on Classical and Celestial Mechanics,Velikie Luki, Russia, August 23-28, 2004.23

a. razmaZis saxelobis maTematikis institutis2004 wlis saerTaSoriso samecniero TanamSromlobisa n g a r i S idanarTi 6TanamSromelTa sazRvargareT mivlinebebi# saxeli, gvari Tanamdebobaqveyana;vadebimivlinebis mizani1 2 3 4 51. ivane kiRuraZe direqtoriaSS;21 Tebervali-21 aprilifloridis teqnologiuri institutis(q. melburni) maTematikurmecnierebaTa departamentisTanamSromlebTan erTadsamecniero kvlevis Catareba2. vaxtang kokilaSvili direqtoris moadgilesamecniero muSaobisdargSiukraina;7-12 ivnisiCexeTi;italia;9-30 noemberiCexeTi;25 maisi _5 ivnisigermania;10-20 ivlisiportugalia;12-28 seqtemberi3. nino farcvania swavluli mdivani SvedeTi;25 ivnisi _5 ivlisi4. roland duduCava ganyofilebis gamge germania;3 Tebervali-18 aprili;30 seqtemberi_ 27 dekemberididi britaneTi;13-21seqtemberi5. xvedri inasariZe ganyofilebis gamge espaneTi;1-31 maisiSveicaria;17-30 agvistoGRDF-is grantis farglebSiukrainis mecnierebaTa akademiismaTematikis institutSi (q. kievi)sadoqtoro disertaciisoponirebamasarikis saxelobis universitetSi(q. brno) da florenciisuniversitetSi samecniero TanamSromlobaplenaruli moxseneba saerTa-Soriso konferenciaze “funqciurisivrceebi, diferencialurioperatorebi da arawrfivianalizi”ienis universitetis maTematikisinstitutSi erToblivi samecnierosamuSaoebis Catarebafaros universitetSi erToblivisamecniero samuSaoebisCatareba da saerTaSoriso konferenciaSimonawileobaevropis maTematikosTa IV kongresismuSaobaSi monawileoba(q. stokholmi)samecniero TanamSromloba dale\qciebis kursi saarlendisuniversitetSi, saarbriukeni(rogorc germaniis samecnierosazogadoebis profesori)ridingis universitetSi gamar-Tul saerTaSoriso konferenciaSimonawileobanatos programiT SedgenilierToblivi samecniero proeqtissakiTxebze muSaoba espanelkolegebTan erTad santiago dekompostelas universitetSilozanis universitetSi samecnieroproeqtze muSaoba daalgebrul topologiaSi saer-TaSoriso konferenciaSi monawileoba24

7. ioseb gubelaZe wamyvani mecnieri TanamSromeli8. merab eliaSvili wamyvani mecnieri TanamSromeli9. laSa efremiZe wamyvani mecnieri TanamSromeli10. aleqsandre kvinixiZe wamyvani mecnieri TanamSromeli11. vaxtang lomaZe wamyvani mecnieri TanamSromeli12. mixeil mania wamyvani mecnieri TanamSromeli13. Teimuraz firaSvili wamyvani mecnieri TanamSromeli14. oTar Wkadua wamyvani mecnieri TanamSromeli15. giorgi ximSiaSvili wamyvani mecnieri TanamSromeliaSS;15 agvisto,2004 _15 agvisto,2005safrangeTi;8 ianvari _6 Tebervaliitalia;1-7 apriligermania;9-14 noemberiitalia;8 maisi _8 ivlisiiaponia;5 oqtomberi,2004 - 31 marti,2005avstralia;14 seqtemberi,2004 _ 14ianvari, 2005italia;9 ianvari _7 apriliisraeli;10-17 maisiitalia;1 oqtomberi-25 dekemberigermania;1 ivlisi, 2003- 1 marti,2005germania;27 marti _24 apriliruseTi;16 Tebervali-16 ivnisigermania;22 ivnisi _22 ivlisiruseTi;10 noemberi -1 dekemberi1 2 3 4 56. leo esakia seqtoris gamge aSS; niu mexikos universitetSi er-9 agvisto _ Toblivi samecniero kvlevis7 seqtemberi Catareba GRDF-is grantis farglebSida algebris saerTa-Soriso konferenciaSi monawileobasamecniero muSaoba san-franciskosuniversitetSiq. anesis Teoriuli fizikislaboratoriaSi erToblivikvlevebis Catarebamivlineba veneciaSi UNESCO-sevropuli biuros miwveviTCODATA-s mecnierebisa da teqnologiebismonacemTa komitetisasambleaSi monawileoba (q.berlini)boloniis universitetSi er-Toblivi samecniero kvlevebisCatareba (NATO-s grantis farglebSi)okaiamas universitetSi samecnierokvlevebis Catareba (macumaessaerTaSoriso stipendiisfarglebSi)samecniero TanamSromlobaflindersis universitetis fizikisfakultetze (q. adelaida)abdus salamis saxelobis Teoriulifizikis saerTaSorisocentrSi (triesti) erToblivikvleviTi samuSaoebis Catarebaben-gurionis universitetSi gamarTulikonferenciis muSaobaSimonawileobaturinis politeqnikur institutSisamecniero TanamSromloba,leqciebis kursibilefeldis universiteti, leqciebiskursiStutgartis maTematikis institutSierToblivi kvlevebisCatarebaruseTis akademiis samecnierocentrSi (q. sankt-peterburgi)erToblivi kvlevebis Catarebakotbusis universitetSi samecnieroTanamSromlobasankt-peterburgis maTematikisinstitutSi samecniero TanamSromloba25

1 2 3 4 516. giorgi janeliZe wamyvani mecnieri TanamSromeliavstralia;10 noemberi,2003 _ 28 aprili,2004italia;portugalia;14 maisi _25 ivnisisidneis universiteti, leqciebiskursierToblivi kvlevebis Catarebagenuisa (italia) da aveiros(portugalia) universitetebSi17. giorgi jorjaZe wamyvani mecnieri TanamSromeli18. malxaz bakuraZe ufrosi mecnieri TanamSromeli19. Tengiz buCukuri ufrosi mecnieri TanamSromeli20. nikoloz gamyreliZe ufrosi mecnieri TanamSromeli21. amiran gogatiSvili ufrosi mecnieri TanamSromeli22. Tamar daTuaSvili ufrosi mecnieri TanamSromelisamxreT afrika;1seqtemberi,2004 _ 1 seqtemberi,2005germania;1 maisi _1 ivnisigermania;poloneTi;3 ivlisi _3 seqtemberi;9 noemberi _30 dekemberisafrangeTi;12 ianvari _9 aprili;8 maisi _2 ivlisi;4-11 oqtomberiitalia;15 noemberi_ 13dekemberiruseTi;4 noemberi,2003 _ 4 maisi,2004;27 oqtomberi,2004 _ 27aprili, 2005CexeTi;16 seqtemberi,2003 _1 oqtomberi,2004espaneTi;1 ivnisi _31 ivlisiespaneTi;1-31 agvistokeiptaunis universitetSi samecnieroTanamSromlobagravitaciis ainStainis sax. institutSiTanamSromloba integrebadimodelebis Sesaswavladgayalibebul TeoriebSihumboltis universitetSi (q.berlini) kvleviTi samuSaoebisCatareba;birTvuli kvlevis institutSi(poloneTi) TanamSromloba dakvantvisproblemebze integrebadsistemebSimonpelies universitetSi samecnieroTanamSromlobaturinisa da genuis universitetebSisamecniero TanamSromlobaitaliis mTavrobis grantisfarglebSisteklovis saxelobis maTematikisinstitutSi erToblivisamuSaoebis Catareba, moskovisamecniero TanamSromloba CexeTismecnierebaTa akademiispraRis maTematikis institut-Si (kontraqtiT)pontevedras universitetSisamecniero TanamSromlobavigos universitetSi samecnieroTanamSromloba26

1 2 3 4 528. giorgi ciciSvili ufrosi mecnieri TanamSromelididi britaneTi;12 ianvari _18 Tebervali29. mamuka jiblaZe ufrosi mecnieri TanamSromeli30. daviT kapanaZe mecnieri TanamSromeli31. sulxanmuxigulaSvilimecnieri TanamSromeli32. zurab cigroSvili mecnieri TanamSromeli33. nikoloz beJaniSvili umcrosi mecnieri TanamSromeli34. daviT gabelaia umcrosi mecnieri TanamSromeli35. avTandil gaCeCilaZe umcrosi mecnieri TanamSromeli36. giorgi WavWaniZe umcrosi mecnieri TanamSromeliiaponia;18 Tebervali-25 marti,2004;7 seqtemberi,2004 _ 7 agvisto,2005germania;1 oqtomberi,2003 _ 1 oqtomberi,2004germania;1 marti _31 ivlisiCexeTi;15 seqtemberi,2003 _ 1 seqtemberi,2004;10 seqtemberi,2004 _ 1 seqtemberi,2005espaneTi;3 maisi _1 ivlisiholandia;1 marti_6 noemberididi britaneTi;1 marti_9 oqtomberiitalia;1 maisi _3 ivlisifineTi;9-21 agvistoitalia;9 ianvari _20 Tebervaliirani;5-12 maisilondonis universitetSi samecnieroTanamSromlobatohukus universitetSi samecnieroTanamSromloba (Tema:“holis kvanturi efeqti”)samecniero muSaoba maqs-plankisinstitutSi, q. bonierToblivi samecniero muSaobapotsdamis universitetis maTematikisinstitutSi (INTAS-isgrantis farglebSi)samecniero TanamSromloba CexeTismecnierebaTa akademiismaTematikis institutis brnosfilialSimadridis karlos III-is saxelobisuniversitetSi samecnieroTanamSromlobaamsterdamis universitetSi sadisertacionaSromze muSaobalondonis universitetSi sadisertacionaSromze muSaobaromis universitetSi samecnieroTanamSromloba (INTAS-isgrantis farglebSi)sazafxulo skola-seminarSimonawileoba (q. iuviaskiula)abdus salamis saxelobis Teoriulifizikis saerTaSorisocentrSi (triesti) erToblivikvleviTi samuSaoebis CatarebamaTematikur fizikaSi me-11 regionalurikonferenciis muSaobaSimonawileoba (q. Teirani)28

ucxoel mecnierTa miReba# saxeli, gvariqveyana;Tanamdebobavadebi Camosvlis mizani1 2 3 4 51. b. puJa CexeTi, q. brno;masarikis sax. universitetismaTematikurianalizis kaTedrisdocenti10 agvisto _10 seqtemberierToblivi samecniero kvlevebisCatareba diferencialurgantolebaTa Tvisebriv TeoriaSiakademikos i. kiRuraZesTanerTad2. a. zandigi germania;Stutgartis maTematikisinstitutisprofesori3. v. gaizi germania;Stutgartis maTematikisinstitutisdoqtori4. m. rosi italia;genuis universitetisdoqtori5. b. boiarski q. varSava, poloneTi;poloneTis mecnierebaTaakademiis akademikosi,banaxis saer-TaSoriso samecnierocentris direqtori6. a. aleqsandrovi q. moskovi, ruseTi;fizika-maTematikismecnierebaTa doqtori,ruseTis mecnierebaTaakademiis marTvissistemaTa institutisufrosi mecnieriTanamSromeli14-21 oqtomberi14-21 oqtomberi15-21 dekemberierToblivi samecniero kvlevebisCatareba institutis maTematikurifizikis ganyofilebisTanamSromlebTan (DFG German-Georgian cooperation project 436GEO 113/8/0-1 grantiT)erToblivi samecniero kvlevebisCatareba institutis maTematikurifizikis ganyofilebisTanamSromlebTan (DFG German-Georgian cooperation project 436GEO 113/8/0-1 grantiT)erToblivi samecniero muSaobainstitutis TanamSromlebTanT. buCukurTan da d. kapanaZes-Tan erTad eleqtromagnituritalRebis eleqtrosadenebTanurTierTqmedebis amocanebze(italiis mTavrobis grantiT“Modeli Matematici e Numerici perle Applicazioni”)10-17 ivnisi erToblivi samecniero kvlevebisCatareba institutis geometria-topologiisganyofilebisTanamSromlebTan10-22 ivnisi erToblivi samecniero kvlevebisCatareba institutis geometria-topologiisganyofilebisTanamSromlebTaninstitutis direqtori, akademikosiswavluli mdivani, fizika-maTematikismecnierebaTa kandidatii. kiRuraZen. farcvania29