Differential K-theory and Picard Stacks

GAP Seminar

Meeting Details

For more information about this meeting, contact Nigel Higson, Mathieu Stiénon, Ping Xu.

Speaker: Calder Daenzer, Penn State University

Abstract: Differential K-theory is a refinement of topological K-theory, defined as a Grothendieck group of vector bundles with connection. It is part of the growing class of so-called differential refinements of cohomology theories, which are meant to classify fields in various quantized physical theories. In contrast to its topological counterpart, differential K-theory is not homotopy invariant, and does not satisfy Bott periodicity. In this talk I will outline a modification of differential K-theory which restores these properties, albeit at a 2-categorical level. The method applies to differential refinements in general, and realizes them as 2-functors satisfying a 2-categorical analogue of the Eilenberg-Steenrod cohomology axioms. This is joint work with Ralf Meyer.


Room Reservation Information

Room Number: 106 McAllister

Date: 04/24/2012

Time: 2:30pm - 3:30pm