Jean-Michel Bismut

If X is a Riemannian manifold, the Laplacian is a second order elliptic operator on X. The hypoelliptic Laplacian L_b is an operator acting on the total space of the tangent bundle of X, that is supposed to interpolate between the elliptic Laplacian...

Abstract: If G is a reductive Lie group with Lie algebra g, orbital integrals are a key ingredient in Selberg's trace formula. I will explain how one can think of the evaluation of orbital integrals as the computation of a Lefschetz trace. Using in...