PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:The world's simplest index theorem and noncommutative topology
Seminar:GAP Seminar
Speaker:Erik Van Erp
Abstract:
I present an index theorem for a class of scalar differential operators on closed 3-manifolds. The index is expressed as a sum of explicit winding numbers. These Fredholm differential operators, however, are not elliptic, and the formula will appear strange to those familiar with the Atiyah-Singer index theorem. Nevertheless, we will explain how our formula can be derived from the theorem of Atiyah-Singer, using techniques from noncommutative topology. A crucial modification is a re-interpretation of the notion of "symbol", and its associated K-theory class.

Room Reservation Information

Room Number:MB106
Date:03 / 23 / 2010
Time:02:30pm - 03:30pm