## EVENT DETAILS AND ABSTRACT

**Midwest Topology Seminar**
**Title:** Iterated algebraic K-theory and T-duality for sphere bundles

**Speaker:** Craig Westerland

**Speaker Info:** University of Minnesota

**Brief Description:**

**Special Note**:

**Abstract:**

This talk will focus on two main topics. The first is the construction of a periodic form A_n of the (n-1)-fold iterated algebraic K-theory of ku, the connective K-theory spectrum. Following Baas-Dundas-Rognes-Richter, the spectrum A_n may be regarded as a non-connective form of a K-theory of higher categorical analogues of vector bundles. We develop some basic machinery for studying this cohomology theory, in particular a form of the Chern character. In the second part of the talk, we will prove an analogue of Bouwknegt-Evslin-Mathai?s topological T-duality for higher dimensional sphere bundles using A_n.

**Date:** Sunday, February 06, 2016

**Time:** 11:30 am

**Where:** Swift 107

**Contact Person:** Lauren Bandklayder

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

**Contact Phone:**

Copyright © 1997-2024
Department of Mathematics, Northwestern University.