##### Department of Mathematics,

University of California San Diego

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### Math 292 - Topology Seminar

## Ang Li

#### University of Kentucky

## A comparison between $C_2$-equivariant and classical squaring operations

##### Abstract:

For any $C_2$-equivariant spectrum, we can functorially assign two non-equivariant spectra - the underlying spectrum and the geometric fixed point spectrum. They both induce maps from $RO(C_2)$-graded cohomology to classical cohomology. In this talk, I will compare the $RO(C_2)$-graded squaring operations with the classical squaring operations along the induced maps. This is joint work with Prasit Bhattacharya and Bertrand Guillou.

### October 5, 2021

### 10:30 AM

https://ucsd.zoom.us/s/99777474063 Passcode: topology

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