Annual Report 2005 - Fields Institute - University of Toronto

More documents

Recommendations

Info

Computational Neuroscience in Upper Canada (CNUC) July 2004, November 2004 and March 2005 Held at the Fields Institute Organizers: Randy McIntosh (Rotman Research Inst. & Toronto), Frances Skinner (Toronto Western Research Inst. & Toronto) and Richard Zemel (Toronto) Conversations over coffee gave rise to a small group in southern Ontario with an interest in methods and problems in computational neuroscience. The primary motivation is to exchange information between experimentalists and computational modellers in order to investigate how computational and mathematical approaches have been-or could be-used to address critical issues in neuroscience. The talks are either in tutorial style, geared to general scientists, or more problem-oriented, where an issue is presented and the floor is then opened for discussion on how to deal with the issue (e.g., we have all this data from brain imaging; how do we characterize the dynamics?). July 7, 2004 Nonlinear dynamics and bifurcations Sue Ann Campbell (Waterloo), Marty Golubitsky (Houston), and Frances Skinner (Toronto) November 10, 2004 Dynamics of a neural system with a multiscale architecture Michael Breakspear (U. Sydney & Brain Dynamics Centre) March 10, 2005 Memory across domains Speakers: Sue Becker (McMaster), Jeremy Caplan (Rotman Research Inst.), Eve De Rosa (Toronto), Chris Eliasmith (Waterloo) and Christiane Linster (Cornell) Fields Colloquium/Seminar in Applied Mathematics September 7–June 30, 2005 Held at the Fields Institute Organizers: Jim Colliander (Toronto), Walter Craig (McMaster), Barbara Keyfitz (Fields); Adrian Nachman, Mary Pugh and Catherine Sulem (Toronto) The Fields Colloquium in Applied Mathematics started in 2001, forming a focal point for mathematicians in the Toronto region interested in applied mathematics and analysis of partial differential equations. This year there were talks in two formats: the Colloquium for broad lectures by senior speakers, and the Seminar, aimed at a more specialized audience. The highlight of this year’s colloquia was the talk by Charlie Fefferman on the Whitney extension problem. The seminars functioned very well as a place G e n e r a l S c i e n t i f i c A c t i v i t i e s Charles Fefferman where visitors to Fields talked about their current research. Next year will continue in the same vein. Speakers: Y. S. Choi (Connecticut) Moving boundary problem for a one-dimensional crawling Nematode sperm cell model Charles Fefferman (Princeton) Whitney’s extension problem II Katarina Jegdic (Houston & Fields) Transonic regular reflection for the unsteady transonic small disturbance equation Nedyu Popivanov (U. Karlsruhe) 50 Years nonclassical Protter Problems for the wave equation Katarzyna Saxton (New Orleans) Low temperature phase transitions in heat propagation Ralph Saxton (New Orleans & Fields) Boundary layer separation and breakdown Allen Tesdall (Houston & Fields) Self-similar and steady solutions for weak shock reflection Fields Institute 2005 ANNUAL REPORT 90
Geometry and Model Theory Seminar September 2004–March 2005 Held at the Fields Institute Organizers: Edward Bierstone (Toronto) and Patrick Speissegger (McMaster) The purpose of the seminar was to bring together people from the geometry and singularities group at the University of Toronto (including Ed Bierstone, Askold Khovanskii, Grisha Mihalkin and Pierre Milman) and the model theory group at McMaster (Bradd Hart, Deirdre Haskell, Patrick Speissegger and Matt Valeriote). As was discovered during the programs in Algebraic Model Theory and in Singularity Theory and Geometry at the Fields Institute in 1996–97, geometers and model theorists have many common interests. The goal of the seminar is to further explore interactions between these areas. Speakers: Patrick Ahern (Wisconsin, Madison) On the method of Ecalle and Voronin Tobias Kaiser (Universität Regensburg) Definability results for the Poisson equation Rahim Moosa (Waterloo) Nonstandard meromorphic groups Wieslaw Pawlucki (Uniwersytet Jagiellonski) A linear extension operator for Lipschitz functions on o-minimal sets Thomas Scanlon (UC Berkeley) Regular types in partial differential fields Sergei Starchenko (Notre Dame) Complex-analytic subsets in analytic-geometric categories Thierry Zell (Georgia Tech.) Topology of Hausdorff limits in o-minimal structures Motivic Integration Seminar September 2004–March 2005 Held at the Fields Institute and the University of Toronto Organizer: Julia Gordon (Toronto) Motivic integration originated in a 1995 talk by M. Kontsevich, and since then has developed in several directions. G e n e r a l S c i e n t i f i c A c t i v i t i e s Historically, the first theory that appeared (in the works of J. Denef and F. Loeser dated 1996–1998) was the theory of integration on arc spaces (what is nowadays called “geometric motivic integration”). The theory of arithmetic motivic integration was developed by J. Denef and F. Loeser in 1999, and that’s when they first introduced the machinery from logic into the construction. Arithmetic motivic integration provides a different point of view on the classical integration over p-adic fields. It should be noted here that the values of motivic measure are not numbers but geometric objects (such as, roughly speaking, isomorphism classes of varieties, or, sometimes, Chow motives). In the case of arithmetic motivic integration the way to get back to a classical, number-valued, measure, is roughly by counting points on the varieties over finite fields. The aim of the seminar was to understand how motivic integration works. The goal was to bring together model theorists from McMaster University and people from different fields at the University of Toronto. Speakers Raf Cluckers (ENS) New framework for motivic integration Alf Dolich (McMaster) Mapping formulas to Chow motives, with examples Julia Gordon (Toronto) The transformation rule for geometric motivic measure: example of a blow-up Geometric motivic integration from the new point of view Jonathan Korman (Toronto) About geometric and arithmetic motivic integration in the new framework Elliot Lawes (Toronto) Prehistory of motivic integration Kyu-Hwan Lee (Toronto) Measure on 2- dimensional local fields Geoffrey Lynch (Toronto) Introduction to Chow motives Yoav Yaffe (McMaster) P-adic cell decomposition theorem Fields Institute 2005 ANNUAL REPORT 91
Page 1 and 2:
Fields Institute 2005 ANNUAL REPORT
Page 3 and 4:
Institute Profile 2 Message from th
Page 5 and 6:
departments in universities and col
Page 7 and 8:
major fund-raising campaign that wo
Page 9 and 10:
postdoctoral fellows, the institute
Page 11 and 12:
The Geometry of String Theory: Sept
Page 13 and 14:
There were two additional associate
Page 15 and 16:
Course on Symplectic Geometry and T
Page 17 and 18:
Andrew Neitzke (Harvard) Elements o
Page 19 and 20:
Student and auditor feedback about
Page 21 and 22:
string theory. Nigel Hitchin himsel
Page 23 and 24:
The conference featured reports of
Page 25 and 26:
study and discuss the recent develo
Page 27 and 28:
Takuya Okuda (Caltech) Calabi-Yau c
Page 29 and 30:
workshop, Thursday was devoted to a
Page 31 and 32:
Other issues center around various
Page 33 and 34:
Thinking of this problem in terms o
Page 35 and 36:
tiveness of Quantum Physics in Math
Page 37 and 38:
Lectures DISTINGUISHED LECTURE SERI
Page 39 and 40:
the pair on an equal footing. In th
Page 41 and 42: outstanding question in this field
Page 43 and 44: etween mathematics, statistics, and
Page 45 and 46: distinguished long-term visitors, C
Page 47 and 48: Achim Kempf of the University of Wa
Page 49 and 50: THE NATIONAL PROGRAM ON COMPLEX DAT
Page 51 and 52: Hugh Chipman disciplines, some comm
Page 53 and 54: MITACS, NPCDS, the Sustainable Fore
Page 55 and 56: Bo Song (Clemso) Visualization of f
Page 57 and 58: Michael Joswig (TU Berlin) Convex h
Page 59 and 60: Norbert Lütkenhaus (Erlangen) Quan
Page 61 and 62: Career: Some Remarks. On August 7,
Page 63 and 64: Jeremy Quastel and Tom Salisbury Ne
Page 65 and 66: the property (T) in 2001.) The work
Page 67 and 68: This conference brought together ma
Page 69 and 70: Many speakers reported on recent pr
Page 71 and 72: and former president of the Interna
Page 73 and 74: S. Mitchell (UBC) An asymptotic fra
Page 75 and 76: Combinatorics workshop participants
Page 77 and 78: Workshop participants Each of the i
Page 79 and 80: Workshop participants Speakers: Ran
Page 81 and 82: Bruce Allison their work, discuss n
Page 83 and 84: Poster participants talks, each of
Page 85 and 86: Workshop on Mathematical Programmin
Page 87 and 88: University) presented recent result
Page 89 and 90: volume are Rajendra Bhatia (India),
Page 91: SEMINARS Algebraic Combinatorics Se
Page 95 and 96: ments. All of the results obtained
Page 97 and 98: Vladimir Vinogradov (Ohio) On “co
Page 99 and 100: parameters - for example, in the ca
Page 101 and 102: Winter 2004 Meeting of the Canadian
Page 103 and 104: Special Sessions: Automatic Sequenc
Page 105 and 106: meeting introduced an Industry/Acad
Page 107 and 108: The workshop was attended by approx
Page 109 and 110: tri-annually. MOPTA 05 will be held
Page 111 and 112: Lowell Aronoff (Cannex Financial Ex
Page 113 and 114: Kuznetsov, he models each firm usin
Page 115 and 116: ment returns. The object of the res
Page 117 and 118: Camp participants Math Camp Program
Page 119 and 120: This Fields-sponsored symposium was
Page 121 and 122: Fields Institute Fellows The honour
Page 123 and 124: Fields Institute Communications Ser
Page 125 and 126: BARBARA LEE KEYFITZ Director TOM SA
Page 127 and 128: Scientific Advisory Panel 2004-2005
Page 129 and 130: and of the Board of Directors of th
Page 131 and 132: Industrial Advisory Board The Indus
Page 133 and 134: students at the University of Ottaw
Page 135 and 136: and graduate students are involved
Page 137 and 138: F i n a n c i a l S t a t e m e n t
Page 143 and 144:
F i n a n c i a l S t a t e m e n t
Page 145 and 146:
Fields Institute 2005 ANNUAL REPORT
show all

Annual Report 2005 - Fields Institute - University of Toronto

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?