Department of Mathematics

Indian Institute Of Technology Madras , Chennai
  • Mathematics Department Shifted to NAC Office of the Department of Mathematics is moved from HSB to New Academic Complex (NAC) 5th and 6th Floor

Helgason's conjecture for Riemannian symmetric spaces

Speaker : Dr. P. Aprameyan (Department of Mathematics, IIT Madras)

20-09-2018

Abstract :

In this talk, we'll describe Helgason's conjecture for Riemannian symmetric space of non-compact type. This is a generalisation of the classical correspondence in complex anaysis between harmonic functions on the unit disk, endowed with the hyperbolic metric, and functions on the boundary of the disk given by the Poisson integral. This was proved in full generality using sophisticated mircolocal techniques by Kashiwara, Kowata, Minemura, Okamoto, Oshima and Tanaka. We'll outline a simple proof of this result for Riemannian symmetric spaces of rank one. Time-permitting, we'll mention a nice application to scattering theory.

Key Speaker Dr. P. Aprameyan (Department of Mathematics, IIT Madras)
Place NAC 522
Start Time 3:00 PM
Finish Time 4:00 PM
External Link None