## Geometry Seminar - Abstracts

### Talk

Tuesday 24 May 2022, 16:00 - 17:00 in HG03.085

**Eva HÃ¶ning** (RU)

*Algebraic K-theory of the second truncated Brown-Peterson spectrum*

### Abstract

The redshift conjecture of Ausoni and Rognes predicts that algebraic K-theory increases the chromatic complexity by one. In this talk we explain how to prove a strong form of the redshift conjecture for \(\mathrm{BP}\langle 2\rangle\) by explicitly computing the mod \((p, v_1, v_2)\) homotopy of its topological cyclic homology. This is joint work with G. Angelini-Knoll, Ch. Ausoni, D. Culver and J. Rognes.

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