Dear all,

Here is the announcement of the next MAP seminar:

⟶ Speaker: Octave Mischler (ENS Paris)

⟶ Date: Tuesday 4th June, 12:00

⟶ Where: Aula Riunioni (Pisa) and online on Google Meet: https://seminarimap.wixsite.com/seminarimap/2023-2024-1/octave-mischler

⟶ Title: Stability estimates for (Quadratic) Optimal transport

⟶ Abstract: The optimal transport problem can be summarized as, given two probability densities, finding the cheapest way to transport one onto the other. After introducing some basic knowledge about optimal transport among which existence of a solution, entropic regularization and dual formulation, we will present more recent work giving explicit stability bounds. Quite interestingly, the main tool of the proof is Prékopa-Leindler inequality, a functional inequality one can actually prove using optimal transport, thus yielding a nice self improvement of the theory.

We remind you that these seminars are addressed to everybody: the first half of the seminar is dedicated to the introduction of notions and tools needed in the second half, which is focused on research topics.

For more information, check our website: https://seminarimap.wixsite.com/seminarimap

See you soon,

The organizers: Jeremy Mirmina Filippo Paiano Mario Rastrelli Leonardo Roveri

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