（第85讲）

(The Institute Lecture)

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.

[video:维多利亚老品牌讲座第85期-1]

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