Cohomology theories of schemes and algebraic K-theory

Abstract: I’ll discuss what is a cohomology theory of schemes. Examples should include étale cohomology, crystalline cohomology, de Rham cohomology, algebraic K-theory, topological cyclic homology, and so forth. Then I’ll explain calculation of cohomology of $\operatorname{BGL}_n$ and its application to algebraic K-theory. This talk is based on a joint work in progress with Toni Annala.

number theory

Audience: researchers in the topic

Japan Europe Number Theory Exchange Seminar

Series comments: The purpose of the Japan Europe Number Theory Exchange Seminar is to give a opportunity for researchers in Japan and Europe to exchange their research projects by giving short talks (30 min). The target audience are researchers of any level in the area of number theory.

Start for Fall 2021: 26th October