(Scuola Normale Superiore)

Terrà un seminario dal titolo:

“Strictly outward minimizing hulls, p-capacities and isoperimetric inequalities”

Abstract:

We investigate the notion of strictly outward minimizing hull and prove that under natural geometric assumptions on the ambient manifold the it gives a maximal volume solution to the least area problem with obstacle. Moreover, we recover the value of its area as limit of p-capacities.

Finally, we apply some of these results in order to obtain the sharp isoperimetric inequality on manifolds with nonnegative Ricci curvature and Euclidean volume growth up to dimension 7, up to now known only in dimension 3.

!! IMPORTANT !!

Temporarily, only people from SNS can attend such events in person. People from SNS willing to attend in person should register and book a seat through the website planning.sns.it

People external to SNS, or people willing to attend the event remotely, should write to andrea.malchiodi@sns.it and ask to join the "MS Teams" group of the seminars. You do not need to re-write if you have already been inserted in the list.

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