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|
|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|