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