Universiteit Utrecht

Department of Mathematics

Special day on Lie groups: May 17, 2011

Here you can find some pictures taken by Tom Koornwinder

At the occasion of the thesis defense of Job Kuit

Title thesis: Radon transformation on reductive symmetric spaces: support theorems.
Date thesis defense: Monday, May 16, 2011
Time: 14:30
Location: Academiegebouw, Domplein 29, Utrecht


Tuesday May 17

10:30 coffee

11:00 - 11:50: T. Kobayashi (University of Tokyo): Restrictions of Verma modules to symmetric pairs and some applications to differential geometry

12:00 - 13:00: lunch break

13:00 - 13:50: S. Helgason (MIT): Support theorems and horocycles
14:10 - 15:00: H. Schlichtkrull (University of Copenhagen): Decay on homogeneous spaces of reductive type

Location: Minnaert building, room 202.


  • T. Kobayashi: I will discuss a "framework" of branching problems for generalized Verma modules with respect to reductive symmetric pairs from the viewpoint of "discrete decomposability", and explain some basic results on the size of irreducible summands and multiplicities. As an application, I plan to explain a new and simple method to obtain Cohen-Rankin operators for holomorphic automorphic forms and Juhl's conformally equivariant differential operators together with their generalizations.

  • S. Helgason: For a general Radon transform injectivity is the first question. The question of a corresponding support theorem goes much further and usually requires stronger assumptions. I plan to discuss several support theorems for a Riemannian symmetric space relative to horocycles.

  • H. Schlichtkrull: The talk concerns joint work in progress with B. Krötz and E. Sayag. Consider a reductive homogeneous space Z=G/H and a unitary representation pi of G with an H-fixed distribution vector eta. We investigate properties of Z, which imply decay at infinity, and in particular L^p-integrability, of the matrix coefficients (pi(z)eta,v) on Z.

  • Last update: April 29, 2011