"Isoperimetric sets in manifolds with lower bounds on the Ricci curvature"

Abstract: The main aim of the seminar is describing existence results for manifolds with nonnegative Ricci curvature and Euclidean Volume Growth. Such results hold under suitable assumptions on the Gromov-Hausdorff limits at infinity and/or on the asymptotic cones at infinity. In particular, although dealing with a classical problem in Riemannian geometry,  nonsmooth geometry naturally enters the game. 
Time permitting, we will also briefly discuss some different assumptions on the curvature.
The presented results are mostly contained in joint works with G. Antonelli, E. Bruè and M. Pozzetta.

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