Dear colleagues,

it is our pleasure to invite you to the following online seminar

Speaker: Giuseppe Savaré (Università Bocconi - Milano)
Title: Hellinger/Wasserstein contraction and regularization properties of diffusion semigroups.
Time: Thursday, April 22, 4PM  (Italian time)

Zoom Link (ID and passcode below if necessary)

The seminar is a satellite activity of the PhD course "Introduction to coercive inequalities with applications in analysis and probability theory" (professor Boguslaw Zegarlinski - Imperial College, London)

Abstract
We illustrate a duality approach to contraction and regularizing properties of diffusion semigroups satisfying a suitable Bakry-Emery condition that emphasize an interplay between Hellinger-Kakutani, Kantorovich-Wasserstein, and Hellinger-Kantorvich distances. In the case of the Kantorovich-Wasserstein distance, contraction properties are also related to the gradient flow structure of the evolution driven by the logarithmic entropy and provide a nice geometrical interpretation of Log-Sobolev and Talagrand inequalities. 

Best regards,
Raffaella Carbone

----------
Join Zoom Meeting

Meeting ID: 895 4315 7111
Passcode: 029655
+
--

Raffaella Carbone, PhD
Probabilità e Statistica Matematica
Dipartimento di Matematica dell'Università degli Studi di Pavia