CRM: Centro De Giorgi
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Optimal Transportation and Applications

Synthetic time-like Ricci curvature lower bounds: geometric consequences and applications

speaker: Fabio Cavalletti (SISSA Scuola Internazionale Superiore di Studi Avanzati )

abstract: The goal of the talk is to discuss and present few consequences of the recent non-smoothsynthetic definition of timelike Ricci curvature bounded below and dimension bounded above (based on optimal transport) in Lorentzian synthetic spaces. After recalling the general setting I will discuss some stability properties, an extension of the celebrated Hawking's Singularity Theorem and a sharp isoperimetric inequality. The talk is based on joint projects with A. Mondino.


timetable:
Thu 27 Oct, 11:00 - 11:45, Aula Magna Bruno Pontecorvo
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