PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Nigel Higson, Stephanie Zerby, John Roe.

Title:Correspondances between (local) index theories
Seminar:Noncommutative Geometry Seminar
Speaker:Rudy Rodsphon, Vanderbilt University
Abstract:
In the last twenty years, dramatic progress have been made in (local) index theory, through many (apparently) different (cyclic) cohomological methods (heat kernel, invariance theory, supersymmetry, deformation quantization, spectral triples ...), leading to different kind of results in different directions (group actions and transverse geometry of foliations, symplectic geometry and formality conjectures ...). We shall try to explain that actually, all these apparently different points of views are in some way equivalent, and may be "mapped" from one to another, leading to a unified picture of local index theory. If time permits, we shall discuss how this might potentially bring new insights on K-theoretical methods to index theory by relating tangent groupoid approaches to Kasparov's KK-theoretical methods. Our hope is to bring a more complete understanding of index theory, leading to further advances in what we already know (index theorems as well as applications) or even better, discover new connections to other fields.

Room Reservation Information

Room Number:MB106
Date:02 / 18 / 2016
Time:02:30pm - 03:30pm