##### Department of Mathematics,

University of California San Diego

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### Math 292 - Topology Seminar

## Nick Georgakopoulos

#### University of Chicago

## The RO(G) graded cohomology of G-equivariant classifying spaces

##### Abstract:

The cohomology of classifying spaces is an important classical topic in algebraic topology. However, much less is known in the equivariant setting, where one wants to know the RO(G)-graded cohomology of classifying G-spaces. The problem is that RO(G)-graded cohomology is notoriously difficult to compute even when G is cyclic.In this talk, I will explain my computations in the case of cyclic 2-groups G while keeping technical details to a minimum. The main goal is to understand rational equivariant characteristic classes, but I will also discuss some mod 2 computations and their relevance to the equivariant dual Steenrod algebra.

Host: Eva Belmont

### September 28, 2021

### 10:30 AM

https://ucsd.zoom.us/j/99777474063 (password: topology)

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