PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Becky Halpenny.

Title:"Quantization Commutes with Reduction"
Seminar:Ph.D. Oral Comprehensive Examination
Speaker:Yanli Song, Adviser: Nigel Higson, Penn State
Abstract:
I will outline an analytic proof to Guillemin-Sternberg conjecture, that "quantization commutes with reduction", which is given by Tian and Zhang. The proof bases on Morse theory. We deform the Dirac operator D be Clifford action of a vector field induced by norm square of moment map. We will study its properties in limit. In this way, we will show how to "localize" the problem to a small neighborhood of the submanifold where the moment vanishes.

Room Reservation Information

Room Number:116 EE West
Date:04 / 25 / 2011
Time:02:00pm - 04:00pm