##### Department of Mathematics,

University of California San Diego

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### Math 292 - Topology Seminar

## Yunze Lu

#### University of Michigan

## Calculations in nonabelian equivariant cohomology

##### Abstract:

Calculating the coefficients of equivariant generalized cohomology theories has been a fundamental question for equivariant homotopy theory. In this talk, I will talk about some calculations when the group is nonabelian. Examples include $RO(G)$-graded Eilenberg-MacLane cohomology of a point with constant coefficient when $G$ is a dihedral group of order $2p$ or the quaternion group $Q_8$, and coefficient ring of $\Sigma_3$-equivariant complex cobordism. I will discuss techniques in such computations: isotropy separation, cellular structures and dualities. This is joint work with Po Hu and Igor Kriz.

Host: Zhouli Xu

### October 12, 2021

### 10:30 AM

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

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