PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:Differential K-theory and Picard Stacks
Seminar:GAP Seminar
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:MB106
Date:04 / 24 / 2012
Time:02:30pm - 03:30pm