SEMINARIO DI MATEMATICA
Giovedì 8 febbraio 2018
ore 16:30
*Scuola Normale Superiore*
Pisa
Aula Pasquali
*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.*
Tutti gli interessati sono invitati a partecipare.
Classe di Scienze Matematiche e Naturali
Valeria Giuliani Scuola Normale Superiore Servizio alla Didattica e Allievi tel. 050 509260 Piazza dei Cavalieri, 7 56126 Pisa E-mail: valeria.giuliani@sns.it E-mail: classi@sns.it