Summer School in Harmonic Analysis

The heat kernel on symmetric spaces and related structures

speaker: Jean-Philippe Anker (Universite' d'Orleans - Laboratoire de Mathematiques MAPMO)

abstract: 1. Parabolic maximumminimum principles

2. Construction of the heat kernel on Riemannian manifolds . Closed manifolds . Compact manifolds with boundaries . Open manifolds

3. The heat kernel on symmetric spaces . Hyperbolic spaces . Higher rank case

4. Related settings (tentative): . Relativized processes on symmetric spaces and Iwasawa NA groups . Sublaplacians on semisimple Lie groups . Random walks on trees and buildings

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