20–24 Jun 2022
Dipartimento di Matematica Università di Pisa
Europe/Rome timezone

Lecture 6. Isoperimetric sets of large volume on spaces with nonnegative Ricci curvature and Euclidean volume growth

23 Jun 2022, 10:20
50m
Aula magna (Dipartimento di Matematica Università di Pisa)

Aula magna

Dipartimento di Matematica Università di Pisa

Largo Bruno Pontecorvo, 5, 56127 Pisa PI

Speaker

Elia Bruè (IAS Princeton)

Description

I will present a new existence result for isoperimetric sets of large volume on manifolds with nonnegative Ricci curvature and Euclidean volume growth, under an additional assumption on the structure of tangent cones at infinity. After a brief discussion on the sharpness of the additional assumption, I will show that it is always verified on manifolds with nonnegative sectional curvature. I will finally present the main ingredients of proof emphasizing the key role of nonsmooth techniques presented in the previous lectures.

Presentation materials