Alessio Figalli
(University of Texas at Austin)

  13-16 mai 2014 / May 13-16, 2014  

Stability results for geometric and functional inequalities

  RESUME / ABSTRACT    Geometric and functional inequalities play a crucial role in several problems arising in the calculus of variations, partial differential equations, geometry, etc. More recently, there has been a growing interest in studying the stability for such inequalities. The basic question one wants to address is the following: Suppose we are given a functional inequality for which minimizers are known. Can we prove, in some quantitative way, that if a function “almost attains the equality” then it is close (in some suitable sense) to one of the minimizers? In recent years several results have been obtained in this direction, showing stability for isoperimetric inequalities, the Brunn-Minkowski inequality, Sobolev and Gagliardo-Nirenberg inequalities, etc. In these lectures I will introduce some of these stability problems, describe some possible ways to attack them, and show some applications.


Salle / Room 6214
Centre de recherches mathématiques
Pavillon André-Aisenstadt
Université de Montréal
2920, chemin de la Tour


   Conférence 1 / Lecture 1  

Mardi, 13 mai 2014, 16h00 / Tuesday, May 13, 2014, 4:00 pm

   Conférence 2 / Lecture 2  

Mercredi, 14 mai 2014, 16h00 / Wednesday, May 14, 2014, 4:00 pm

   Conférence 3 / Lecture 3  

Vendredi, 16 mai 2014, 16h00 / Friday, May 16, 2014, 4:00 pm


Une réception suivra la conférence au Salon Maurice-l'Abbé
Pavillon André-Aisenstadt (Salle 6245)

A reception will follow the first lecture (May 13)
at the Salon Maurice-L'Abbé, Pavillon André-Aisenstadt
(room 6245)