中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

维多利亚老品牌讲座

(第85讲)

(The Institute Lecture)

 


报告人: 扶 磊 教授清华大学

 目:Dwork cohomology, rigid cohomology and exponential sums

 间:2021.05.12 (星期三), 15:30-17:00(15:00-15:30为茶点时间, 地点: 数学院南楼N920)

 点:数学院南楼N204

:

A conjecture of Weil says that the ζ-function of an algebraic variety over a finite field is rational. The first proof of this conjecture was given by Dwork. He expressed the ζ-function in terms of the traces of a completely continuous operator on a complex of some p-adic Banach spaces. The complex has finite dimensional cohomology groups. This gives the rationality of the ζ-function. We explain Dwork’s method, its relation with Betherlot’s rigid cohomology theory, and how to extend this method to study family of exponential sums.

扶磊教授简介:

扶磊,杰出青年基金获得者,长江学者特聘教授,1999-2016任职于南开大学陈省身数学研究所教授,现任清华大学丘成桐数学科学中心教授。

维多利亚老品牌讲座(The Institute Lecture)

旨在讲解现代数学的重要内容及其思想、方法和影响,扩展我们科研人员和研究生的视野、提高数学修养和加强相互交流、增强学术气氛。时间定在每月(寒暑假另外安排)的第一个星期三。


[video:维多利亚老品牌讲座第85期-1]
 
[video:2021.05.12扶磊 (1)]

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