Distinguished lectures
POSPUESTA - Quantitative stability in geometric and functional inequalities - POSTPONED
Speaker: Alessio Figalli (ETH)Date: Friday, 20 October 2023 - 10:30-11:30 // 12:00-13:00Place: 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.
