报告人：韩青教授(University of Notre Dame, USA）题目： The generalized Jang equation and blowup behaviors时间：2012年6月24日(星期日)上午10：30—11：30地点：数学系致远楼10

23June, Saturday08:50-09:00Opening CeremonyMorning SessionChair: Lou Yuan09:00-9:50Chen Xinfu (University of Pittsburgh)Defective Boundary Condition Arising from A Thin Coating Problem09:50-10:20Tea Time10:20-11:10Tao Youshan (Donghua University )A Chemotaxis-haptotaxis Model for Cancer Invasion11:10-12:00Elaine Crooks (Swansea University)Front-like Entire Solutions for Equations with Convectio...

In this talk we define two algebraic structures, namely Bi-module problems and Bi-co-module problems, and their representation categories. This is a joint with Xu Yunge (Hubei University

Based on complex analysis, we prove a general (local, semi-global) existence of nonlinear partial differential systems with principle part of mixed higher order Cauchy-Riemann operators in dimension two, and then we apply the same framework set forth in dimension two and Newtonian potentials to proved a general (local, semi-global) existence of nonlinear partial differential systems with principle part of higher order Laplace operators in any dimensions

演讲人：楼元教授(Ohio State University, USA）题目： PDE Models from Population Genetics时间：2012年6月21日(星期四)下午2：00—5：00地点：数学系致远楼10

Witten genus is the loop space analogue of the Hirzebruch A-hat genus. On a string manifold, the Witten genus is a modular form and is the equivariant index of the Dirac operator on the free loop space. Hohn and Stolz conjectured that existence of a positive Ricci curvature metric on a string manifold implies the vanishing of the Witten genus. In this talk, we will present vanishing results for generalized Witten genus on complete intersections and describe a possible mod 2 extension of the Hohn-Stolz conjecture. The talk is based on the joint work with Qingtao Chen and Weiping Zhang

我将从Jacobian 簇(秩1向量丛模空间)的诞生和它上面的theta函数谈起，建立高秩的广义theta函数理论由A. Weil (1938)在一篇著名文章中提出。建立该理论的第一步是构造高秩向量丛的模空间，我将按历史的次序介绍 Narasimhan-Seshadri，Mumford 的工作。最后是由共形场论（Conformal Field Theory) 激发的模空间退化和广义theta函数分解定理

We introduce a commutative associative algebra structure on the direct sum Z of the centers of the Hecke algebras associated to the symmetric groups in n letters for all n. As a natural deformation of the classical construction of Frobenius, we establish an algebra isomorphism from Z to the ring of symmetric functions. This isomorphism gives rise to a characteristic map for Hecke algebras. This is joint work with Jinkui Wan (Beijing).