The Heat Kernel Asymptotics in a Polyhedron

Time: November 9, 2009 - 4:00pm - 5:00pm
Place: Mathematics 402

Abstract:

The contribution of a vertex to the small time asymptotics of the heat trace in a polyhedron is rather complicated. I will give an expression for this contribution in terms of a certain function that is related to Brownian motion. I will also discuss the history of the problem.