Distinguished lecture information

Distinguished lectures

POSPUESTA - Quantitative stability in geometric and functional inequalities - POSTPONED

Speaker:  Alessio Figalli (ETH)
Date:  Friday, 20 October 2023 - 10:30-11:30 // 12:00-13:00
Place:  Aula Azul, ICMAT
Online:  www.youtube.com/@ICMATactivities

Abstract:

Geometric and functional inequalities play a crucial role in several problems in analysis and geometry. The sharpness of a constant and the characterization of minimizers is a classical and essential question. More recently, there has been a growing interest in studying the stability of 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 quantitatively show that if a function “almost attains the equality,” then it is close to one of the minimizers?
In these lectures, I will first overview this beautiful topic and then discuss recent results concerning the Sobolev, isoperimetric, and Brunn–Minkowski inequalities.

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Poster