23–27 Jun 2025
Palazzo del Castelletto
Europe/Rome timezone

Strictly mean convex exhaustions and isoperimetric inequalities

27 Jun 2025, 12:00
1h
Aula Dini (Palazzo del Castelletto)

Aula Dini

Palazzo del Castelletto

Via del Castelletto, 17/1, 56126 Pisa PI

Speaker

Dr Fogagnolo, Mattia (Università di Padova)

Description

I will illustrate a general principle, first devised by Kleiner in a special case, allowing to pass from mean curvature inequalities to isoperimetric inequalities in general noncompact Riemannian manifolds that can be exhausted by strictly mean convex domains. I will then describe a trichotomy theorem envisioned by Gromov allowing one to decide whether a manifold enjoys such property or not. The talk is based mainly on works in collaboration with Borghini, Mazzieri and Santilli.

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