The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on June 05, 2018 at 14:00 in Room 478 of IMI.
A talk on:

Geodesic flow, Laplace spectra, and quantization on Riemannian symmetric spaces of rank one

will be delivered by Gueo Grantcharov, Florida International University, USA.

Everybody is invited.

Abstract. In a project, joint with D. Grantcharov, we extend the observation by I. Mladennov and V. Tsanov that the eigenvalues and eigenspaces of the Laplace operator on the sphere correspond via specific quantization scheme to the energy level of the geodesic flow, to Riemannian symmetric spaces of rank one. In the talk I’ll discuss also the relations with other constructions like twistor theory and possible extension to other symmetric spaces