PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:Dolbeault-Dirac operators on complex homogeneous spaces
Seminar:GAP Seminar
Speaker:Yanli Song, University of Toronto
Abstract:
Let G be a connected semisimple Lie group with a compact Cartan subgroup H. As was conjectured by Langlands and solved by Schmid, the L^2-cohomology spaces of homogeneous, holomorphic line bundles over the manifold G/H vanishes for all but one degree, and the only non-vanishing degree gives a G-representation of the discrete series. In this talk, I will discuss an analytic approach to the above ''vanishing" result. It will lead to a geometric computation of the K-multiplicities of the discrete series representations. This is a work in progress.

Room Reservation Information

Room Number:MB106
Date:03 / 01 / 2016
Time:02:30pm - 03:30pm