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Some topics of Geometric Analysis and Geometric Measure Theory

Heat and entropy flows in Carnot groups

speaker: Giorgio Stefani (Scuola Normale Superiore)

abstract: Carnot groups are an interesting and rich family of sub-Riemannian manifolds that do not enjoy the so-called CD property, in the sense that the entropy is not K-convex along Wasserstein geodesics. Nevertheless, in these metric measure spaces, the heat flow and the Wasserstein-metric flow of the entropy coincide. In this talk, I will present the fundamental steps of the proof of this correspondence. This is a joint work with L. Ambrosio

timetable:
Tue 16 Apr, 11:50 - 12:20, Aula Dini
documents:

Seminario Prof. Stefani

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