Title: Wrappings and heat kernels on compact symmetric spaces
Speaker: Tony Dooley (UNSW)
Abstract: I shall discuss some theorems which allow one to take Euclidean heat kernels, Brownian motion and other Levy processes and, by use of the exponential map, transfer them to compact Lie groups and compact symmetric spaces, by a process we call "wrapping". This enables us to find new formulae for heat kernels on spheres and other compact symmetric spaces.