Date/heure
30 janvier 2020
15:30 - 16:30
Oratrice ou orateur
Roberto Bramati
Catégorie d'évènement Séminaire Théorie de Lie, Géométrie et Analyse
Résumé
Brascamp–Lieb inequalities are multilinear integral inequalities, classically set in Euclidean spaces, in which the functions involved possess symmetries that can be described via annihilation by translation invariant vector fields. With this point of view in mind, in this seminar I will present a general strategy to obtain inequalities of Brascamp–Lieb type on compact homogeneous spaces of Lie groups. The proof relies on a monotonicity property of the heat flow. In particular, I will focus on the case of real spheres, where the obtained inequalities are seen to be sharp for certain choices of symmetries.