Schedule-at-a-Glance

48 PRIMA 2013 Abstracts[1] Y.-J. Chiang, Developments of harmonic maps,wave maps and Yang-Mills fields into biharmonicmaps, biwave maps and bi-Yang-Mills fields, Birkhäuser,Springer, Basel, in the series of “Frontiers in Mathematics,"XXII+399, 2013, in press.[2] Y. J. Chiang, Harmonic maps of V-manifolds, Ann.Global Anal. and Geom., Vol. 8 (1990), no. 3, 315–344.[3] Y.-J. Chiang, Spectral geometry of V-manifolds andits applications to harmonic maps, Proc. Symp. PureMath., Amer. Math. Soc., Vol. 54 (1993), Part 1, 93-99.[4] Y.-J. Chiang, f-biharmonic maps between Riemannianmanifolds, J. of Geom. and Symmetry in Physics, Vol.27 (2012), 45–58.[5] Y. J. Chiang, Harmonic and biharmonic maps of Riemannsurfaces, Global J. of Pure and Applied Math., Vol.9 (2013), no. 2, 109-124.[6] Y.-J. Chiang and A. Ratto, Harmonic maps on spaceswith conical singularities, Bull. Soc. Math. France, Vol.120 (1992), no. 3, 251–262.[7] Y.-J. Chiang and H. Sun, 2-harmonic totally realsubmanifolds in a complex projective space, Bull. Inst.Math. Acad. Sinica, Vol. 27 (1999), no. 2, 99–107.[8] Y.-J. Chiang and H. Sun, Biharmonic maps on V-manifolds, Inter. J. Math. Math. Sci., Vol. 27 (2001),no. 8, 477–484.[9] Y.-J. Chiang and R. Wolak, Transversally biharmonicmaps between foliated Riemannian manifolds, Internat.J. of Math., Vol. 19 (2008), no. 8, 981–996.[10] Y.-J. Chiang and R. Wolak, Transversally f-harmonicand transversally f-biharmonic maps between foliatedRiemannian manifolds, JP J. of Geom. and Top., Vol.13 (2013), no. 1, 93–117.[11] J. Eells and J. H. Sampson, Harmonic mappingsof Riemannian manifolds, Amer. J. of Math., Vol. 86(1964), 109–160.[12] G. Y. Jiang, 2-harmonic maps and their first andsecond variational formulas Annals of Math., China, Ser.A7 (1986), no. 4, 389-402.[13] G. Y. Jiang, 2-harmonic isometric immersions betweenRiemannian manifolds, Annals of Math., China,Ser. A7 (1986), no. 2, 130-144.[14] G. Y. Jiang, The conservation law of biharmonicmaps between Riemannian manifolds, Acta Math. Sinica,Vol. 30 (1987), no. 2, 220–225.Hamiltonian group of self productShengda HuWilfrid Laurier University, Canadashu@wlu.caLet (X, ω) be a symplectic manifold and consider theself product (M, Ω) = (X × X, ω ⊕ −ω). We considerthe Hamiltonian groups Ham(X, ω) × Ham(X, −ω) andHam(M, Ω). There is a natural inclusion from the firstgroup into the second. We give an example where theinclusion map induces a proper inclusion of the fundamentalgroups. This is joint work with F. Lalonde.A McShane-type identity for closed surfacesYi HuangThe University of Melbourne, Australiahuay@ms.unimelb.edu.auWe prove a McShane-type identity— a series, expressedin terms of geodesic lengths, that sums to 2π for anyclosed hyperbolic surface with one distinguished point.To do so, we prove a generalized Birman-Series theoremshowing that the set of complete geodesics on a hyperbolicsurface with large cone-angles is sparse.A new gluing recursive relation for LinearSigma Model of P 1 -orbifoldXiaobin LiSouthwest Jiaotong University, Chinalixiaobin@home.swjtu.edu.cnThe study of the moduli space plays an important role inenumerative geometry, symplectic geometry and mathematicalphysics. Given X = [P 1 /Z r] and let x ′ =([0] a, [∞] b ) be the 2-tuple of twisted sectors on X. Inthis talk, we construct two different compactifications ofthe moduli space M 0,2 (X, d[P 1 /Z r], x ′ ): Nonlinear SigmaModel M x′dx′and Linear Sigma Model Nd . Relations be-x′and Ndare studied and a new gluing recur-tween M x′dsive relation on N x′dis discussed.Cb-frames and the completely bounded approximationproperty for operator spacesRui LiuNankai University, Chinaruiliu@nankai.edu.cnWe introduce the concept of cb-frames for operatorspaces, and give characterizations of completely complementedsubspaces of operator spaces with cb-bases. Weapply the results to discrete group C ∗ -algebras. In particular,we show that there is a natural cb-frame for thereduced free group C ∗ -algebra C ∗ r (F n) of n-generatorswhich is derived from the infinite convex decompositionof the biorthogonal system (λ s, δ s) s∈Fn . We show thatthere is a separable Hilbert operator space which can notbe a subspace of an operator space with a cb-basis, thenwe introduce a natural question to ask for an essentialcharacterization of subspaces of operator spaces with cbbases.This is joint work with Zhong-Jin Ruan.Some inequalities for unitarily invariantnormsJagjit Singh MatharuGuru Nanak Dev University, Indiamatharujs@yahoo.comWe shall prove the inequalities|||(A+B)(A+B) ∗ |||≤|||AA ∗ +BB ∗ +2AB ∗ |||≤|||(A−B)(A−B) ∗ +4AB ∗ |||for all n × n complex matrices A, B and all unitarily invariantnorms |||·|||. If furhter A, B are Hermitian positivedefinite it is proved thatk∏λ j (A♯ αB) ≤j=1k∏λ j (A 1−α B α ),j=11 ≤ k ≤ n,0 ≤ α ≤ 1,where ♯ α denotes the operator means considered by Kuboand Ando and λ j (X), 1 ≤ j ≤ n, denote the eigenvaluesof X arranged in the decreasing order whenever theseall are real. A number of inequalities are obtained asapplications.On automorphism groups of Hua domainsFeng RongShanghai Jiao Tong University, Chinafrong@sjtu.edu.cnHua domains are the generalization of Cartan-Hartogsdomains, which were introduced by Weiping Yin around