2021-09-22
Title: Structural analysis on Prandtl operators Name: Tong Yang, Department of Mathematics, City University of Hong Kong Abstract: ?In 1904, Prandtl’s seminal work opened the important field of boundary layer theory in fluid dynamics. With tremendous progress on its mathematical understanding, there are still many challenging and unsolved problems. In this talk, after a brief review on the structural analysis on ......  
2021-09-22
Title: L-functions of elliptic curvesAbstract: L-function of an elliptic curve over number field is its important invariant, it plays a central role in the study of arithmetic of elliptic curves.The BSD conjecture and Goldfeld conjecture are fundamental problems for L-functions of elliptic curves. In the talk, we introduce some recent progress on these problems. 个人简介:田野,中科院数学与系统科学研究院研究员,研 ......  
2021-09-22
Title: eta-invariant and localization报告人:麻小南,巴黎大学数学系教授Abstract: The eta-invariant was introduced in the 1970’s by Atiyah-Patodi-Singer as the boundary contribution of index theorem for compact manifolds with boundary. It is formally equal to the number of positive eigenvalues of the Dirac operator minus the number of its negative eigenvalues and has many applications in geometry, topology, number ......  
2021-09-22
报告题目:几何中的量子化和对偶性研究报告人:范辉军,北京大学报告内容:在过去的半个多世纪中,量子场理论,引力和弦论的提出和不断研究加深了人们对客观世界结构的理解。什么样的量可选为物理系统的可观测量和如何计算这些可观测量就涉及到现代物理的核心结构:量子化和对偶性。比如如何理解规范理论的量子化和引力的量子化就是物理核心问题之一。而对偶性现象无处不在,比如电磁对偶,Ads/CFT对应,开闭弦对偶等仍未得到很好的理解。物理系统的 ......  
 
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