10-10【杨瑞杰】腾讯会议 吴文俊数学重点实验室代数学系列报告之191

发布者:万宏艳发布时间:2021-10-09浏览次数:13

题目:The cohomology of semisimple local systems and the Decomposition Theorem


报告人:杨瑞杰, 洪堡大学数学所


时间:2021年10月10日(星期天)15:00-15:45;16:05-16:50


腾讯会议 ID:946 831 576

会议密码:202110


摘要:

In the first talk, I will discuss two Hodge-theoretic aspects of cohomology of semisimple local systems: polarizations and yoga of weights. In particular, I will talk about a generalization of Hodge-Riemann bilinear relations and a global invariant cycle theorem for semisimple local systems.  This talk should be accessible to graduate students.


In the second talk, I will discuss how to apply previous results to give a simple and geometric proof of the Decomposition Theorem for semisimple local systems, which was proved by Sabbah as a special case of Kashiwara’s conjecture. Our proof doesn’t require the complicated category of polarizable twistor D-modules. This is based on the joint work with Chuanhao Wei.