For more information about this meeting, contact Ping Xu, Nigel Higson, Mathieu Stienon.
|Title:||What is an equivariant index?|
|Speaker:||Paul Baum, Penn State|
|Let G be a (countable) discrete group acting by diffeomorphisms on a smooth manifold M.
Assume that the action is smooth, proper, and co-compact. Let D be a G-invariant elliptic
differential (or perhaps pseudo-differential) operator on M. What should we mean by the
equivariant index of D? This talk will take up this issue and will explain how equivariant
index is used in the BC (Baum-Connes) conjecture. An example is G = Z, M = R, the real
line, and D = -id/dx. Z acts on R by the usual translation action. This example will be
considered in detail.
This talk is intended for non-specialists. The basic definitions will carefully stated.|
Room Reservation Information
|Date:||09 / 29 / 2009|
|Time:||02:30pm - 03:30pm|