de Lima: A Feynman-Kac formula on manifolds with boundary and geometric applications
de Lima: NOTE THE CHANGE OF ROOM We present a Feynman-Kac-type formula for the heat semigroup associated to a generalized Laplacian operator acting on sections of a vector bundle over a noncompact manifold with a (possibly noncompact) boundary under mixed boundary conditions. We discuss geometric applications of the formula including: i) a new obstruction to the existence of metrics with positive isotropic curvature and 2-convex boundary on compact manifolds; ii) a conservation property for the heat semigroup associated to a class of generalized Dirac Laplacians which extends previous results by Vesentini and Masamune in the setting of differential forms. http://cvgmt.sns.it/seminar/623/
When
Thu Feb 8, 2018 3:30pm – 4:30pm Coordinated Universal Time
