##### Department of Mathematics,

University of California San Diego

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### Math 292 - Topology seminar

## Christian Carrick

#### UCLA

## The Homology of $BP_{\mathbb{R}} \langle n \rangle$

##### Abstract:

The truncated Brown-Peterson spectra admit actions by the cyclic group of order 2 via complex conjugation. Their fixed point spectra are higher height analogues of real K-theory. We describe how to use Tate square methods along with the slice spectral sequence to compute their mod 2 homology. This is joint work in progress with Mike Hill and Doug Ravenel.

Host: Zhouli Xu

### March 1, 2022

### 1:00 PM

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

Password: topology

Research Areas

Geometry and Topology****************************