Sharp concavity of the isoperimetric profile under lower Ricci bounds: recent results and open questions

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Title (deu)

Speaker / Lecturer

Daniele Semola

ETH Zurich

Description (deu)

Starting with the work of Bavard-Pansu in the eighties it was understood that a lower bound on the Ricci curvature of a smooth Riemannian manifold leads to a sharp concavity inequality for its isoperimetric profile. In joint work with Antonelli, Pasqualetto, and Pozzetta we generalized such inequality to the case of RCD (K,N) spaces, for N smaller infinite. In this talk, I will review the problem and discuss some open questions that are left if either the Riemannian or the finite dimensionality assumption is dropped.

Keywords (deu)

Synthetic Curvature BoundsNon-Smooth SpacesBeyond Finite Dimension

Subject (eng)

ÖFOS 2012 -- 101 -- Mathematics

Type (eng)

lecture

Language

[eng]

Persistent identifier

https://phaidra.univie.ac.at/o:2068115

Date created

2024-05-24