Ivan G. Avramidi (Department of Mathematics, New Mexico Tech)

ABSTRACT:

We develop a new method for the calculation of the heat trace asymptotics of the Laplacian on symmetric spaces that is based on a representation of the heat semigroup in form of an average over the Lie group of isometries and obtain a generating function for the whole sequence of all heat invariants.
 

Slides of the lecture: (PDF)

Proceedings of the Conference: Heat kernel asymptotics on symmetric spaces, International Journal of Geometry and Topology, (2006) ; to be published  

Preprint: math.DG/0605762