EVENT DETAILS AND ABSTRACT

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.