SEMINARIO DI MATEMATICA

Giovedì 8 febbraio 2018

ore 16:30

Scuola Normale Superiore

Pisa

Aula Capitini

  Levi Lopes de Lima

(Universidade Federal do Ceará)

terrà un seminario dal titolo:

“A Feynman-Kac formula on manifolds with boundary
and geometric applications”

Abstract:

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.

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Classe di Scienze Matematiche e Naturali