Conférence
Notice
Langue :
Anglais
Crédits
Fanny Bastien (Réalisation), Hugo BÉCHET (Réalisation), Daniele Semola (Intervention)
Conditions d'utilisation
CC BY-NC-ND 4.0
DOI : 10.60527/qqkc-2555
Citer cette ressource :
Daniele Semola. I_Fourier. (2021, 30 juin). D. Semola - Boundary regularity and stability under lower Ricci bounds , in 2021. [Vidéo]. Canal-U. https://doi.org/10.60527/qqkc-2555. (Consultée le 11 décembre 2024)

D. Semola - Boundary regularity and stability under lower Ricci bounds

Réalisation : 30 juin 2021 - Mise en ligne : 30 août 2021
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Descriptif

The theory of non smooth spaces with lower Ricci Curvature bounds has undergone huge developments in the last thirty years. On the one hand the impetus came from Gromov’s precompactness theorem and the Cheeger-Colding theory of Ricci limit spaces. On the other hand “synthetic” theories of lower Ricci bounds have been developed, based on semigroup tools (the Bakry-Émery theory) and on Optimal Transport (the Lott-Sturm-Villani theory).

The Cheeger-Colding theory did not consider manifolds with boundary, while in the synthetic framework even understanding what is a good definition of boundary is a challenge.
The aim of this talk is to present some recent results obtained in collaboration with E. Bruè (IAS, Princeton) and A. Naber (Northwestern University) about regularity and stability for boundaries of spaces with lower Ricci Curvature bounds.

Intervention

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