时间：2022年8月12日-2022年8月22日 8:30-21:00

Time：8:30-21:00, August 12, 2022 - August 22, 2022

地点：西湖大学云谷校区E4号楼233教室

Venue: Room 233, Building E4, Yungu Campus, Westlake University

主持人：西湖大学理学院 赵以庚博士，赵永强博士

Host: Dr. Yigeng Zhao and Dr. Yongqiang Zhao, School of Science, Westlake University

日程/Schedule:

1、主讲嘉宾/Speaker：Prof. Jiangxue Fang, Capital Normal University

主讲题目/Title：Etale cohomology theory and Weil conjecture

摘要/Abstract:

In this series of lectures, I will give a complete proof of Deligne's theorem on Weil conjecture. The lectures include three parts. In part I, I will give a brief review on the theory of etale cohomology and l-adic chomology. In part II, I will show how to use weight theory to prove the Weil conjecture. In part III, I will introduce weight theory of perverse sheaves. The following is the schedule of lectures in Part II.

Lecture 1. Properties of Etale cohomology and Duality

Lecture 2. l-adic cohomology

Lecture 3. Grothendieck trace formula

Lecture 4. Weights of sheaves

Lecture 5. Determinant weights

Lecture 6. Fourier transform

Lecture 7. Weil conjecture for curves

Lecture 8. Weil conjecture for morphisms

2、主讲嘉宾/Speaker：Prof. Bing Xie, Shandong University

主讲题目/Title：Special values of zeta functions

摘要/Abstract: In this series of lectures, I will give an introduction to the theory of special values of Riemann zeta function and of various Dirichlet L-functions from the point of view of spectral zeta functions. Special attentions will be paid to combinatorial problems naturally appeared in these questions.

NOTE: The place for Prof. Xie’s lectures and all Exercises and free discussion sessions will be held in E4-213.

讲座联系人/Contact:

理学院 王老师  wangqiuhui@westlake.edu.cn