# Trimester Seminar

Dates: Wednesdays, 2:00 pm (unless stated otherwise)

Venue: HIM lecture hall, Poppelsdorfer Allee 45, Bonn

Organizers: Guillermo Cortiñas, Hélène Esnault, Christian Haesemeyer, Holger Reich, Jonathan Rosenberg

## Tuesday, May 9

15:00 - 16:00 Welcome Meeting

Abstract: Welcome meeting with the participants and organizers of the Trimester Program.

## Wednesday, May 24

14:00 Organizing Meeting

Abstract: This is an organizing meeting for the trimester seminar. There is also the opportunity to suggest and discuss informal working seminars and reading groups.

## Wednesday, May 31

14:00 Manh Toan Nguyen: Equivariant motivic cohomology

Abstract: Motivic cohomology for smooth schemes over a field is now a well-established theory. This led to the solution to the Milnor-Bloch-Kato conjecture by Voevodsky and Rost. At present, the corresponding equivariant theory is developing and attracting many attentions.

In this talk, I will discuss about two constructions of motivic cohomology for algebraic varieties over a field equipped with an action of a finite group: one is given by Levine-Serpé in terms of equivariant cycles and the other, follows an idea of Grayson, is in terms of the K-theory of equivariant automorphisms. I will also explain how these objects relate to each other as well as to other interesting theories such as orbifold Chow ring and equivariant algebraic K-theory.