PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Becky Halpenny.

Title:"Homological Calculations with the Analytic Structure Group"
Seminar:Ph.D. Thesis Defense
Speaker:Paul Siegel, Adviser: John Roe, Penn State
Abstract:
We build a Mayer-Vietoris sequence for the analytic structure group defined by Higson and Roe and use it to give a new proof of and generalizations of Roe's partitioned manifold index theorem. We give applications of the generalized partitioned manifold index theorem to the theory of positive scalar curvature invariants. Finally, we construct an analogue of the Kasparov product for the analytic structure group and examine how positive scalar curvature invariants behave with respect to this product.

Room Reservation Information

Room Number:MB106
Date:09 / 20 / 2012
Time:12:30pm - 02:15pm