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.