PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:Equivariant deRham cohomology via gauged field theories
Seminar:Noncommutative Geometry Seminar
Speaker:Stephan Stolz, Notre Dame University
Abstract:
Motivated by physics, Graeme Segal defined the notion of a d-dimensional field theory parametrized by a manifold X. In joint work with Peter Teichner, we showed that homotopy classes of supersymmetric field theories parametrized by X correspond to DeRham cohomology for d=0 (joint with Hohnhold and Kreck), K-theory for d=1, and conjectured that topological modular form theory is obtained for d=2. In this talk, we show that for d=0 this can be extended to the equivariant context by showing that supersymmetric gauged field theories over a G-manifold X lead to the equivariant deRham cohomology of X. This is joint work with Fei Han, Chris Schommer-Pries and Peter Teichner.

Room Reservation Information

Room Number:MB106
Date:04 / 14 / 2011
Time:02:30pm - 03:30pm