## EVENT DETAILS AND ABSTRACT

**Topology Seminar**
**Title:** Algebraic K-theory of the dual numbers

**Speaker:** Teena Gerhardt

**Speaker Info:** Indiana University

**Brief Description:**

**Special Note**:

**Abstract:**

Abstract: Nearly 30 years ago, Soule showed that the abelian group K_n(Z[x]/x^2, (x)) is finitely generated with rank 0 if n is even and 1 if n is odd. We compute this group for n odd and find its order for n even. Further, we generalize these results to the study of the algebraic K-theory of truncated polynomial algebras, K_n(Z[x]/x^e, (x)). This is joint work with Vigleik Angeltveit and Lars Hesselholt.

**Date:** Monday, October 13, 2008

**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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