MENU

You are here

Markov diffusion semigroups and functional inequalities

Lecturer: 
Course Type: 
PhD Course
Academic Year: 
2022-2023
Period: 
November - January
Duration: 
30 h
Description: 

After a brief introduction to general Dirichlet forms and their connections with contraction semigroups and self-adjoint operators, we will focus on the diffusive case,
aiming to investigate some analytic and geometric aspects of Markov diffusion semigroups and their infinitesimal generators.
A particular attention will be given to functional inequalities that can be studied in this framework, including but not limited to Poincaré, Sobolev and log Sobolev inequalities, and to relations with Ricci curvature bounds.

The main reference is the book of Bakry, Gentil, Ledoux “Analysis And Geometry Of Markov Diffusion Operators”.

The course is (hopefully) useful also to students interested in Gigli’s class “From CD to RCD spaces”.

Location: 
A-133
Location: 
A-136 on Wednesday, December 7
Next Lectures: 
Monday, January 30, 2023 - 14:00 to 16:00

Sign in