## EVENT DETAILS AND ABSTRACT

**Topology Seminar**
**Title:** Cyclotomic spectra and computations in algebraic K-theory

**Speaker:** Teena Gerhardt

**Speaker Info:** Michigan State University

**Brief Description:**

**Special Note**:

**Abstract:**

In this talk I will describe joint work with Vigleik Angeltveit,
Mike Hill, and Ayelet Lindenstrauss, yielding new computations of algebraic K-theory groups. Techniques from equivariant stable homotopy theory are often key to algebraic K-theory computations. In this case we use n-cubes of cyclotomic spectra to compute the topological cyclic homology, and hence K-theory, of truncated polynomial algebras in several variables. The results are best expressed using a generalization of the Witt vectors, which will also be introduced.

**Date:** Monday, May 21, 2012

**Time:** 4:10pm

**Where:** Lunt 104

**Contact Person:** Prof. Paul Goerss

**Contact email:** pgoerss@math.northwestern.edu

**Contact Phone:** 847-491-8544

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