Skip to content. | Skip to navigation

Personal tools

Theme for TIFR Centre For Applicable Mathematics, Bangalore

Navigation

You are here: Home / Events / Isoperimetry, Sobolev, Mass transport and Stability

Isoperimetry, Sobolev, Mass transport and Stability

Debabrata Karmakar
Speaker
Debabrata Karmakar
When Mar 07, 2025
from 04:00 PM to 05:00 PM
Where LH-111, First Floor
Add event to calendar vCal
iCal

PIZZA TALK

Abstract: Starting from Gromov’s striking proof of the anisotropic isoperimetric inequality and Erausquin-Nazaret-Villani’s duality-based proof of the anisotropic Sobolev inequality, the mass transport approach has been proven to be an effective and robust tool in geometric inequalities. Stability, on the other hand, requires a more problem-specific approach. In this seminar, we will delve into some of its historical developments and then focus on the proof of the stability of the isoperimetric inequality by Figalli-Maggi and Pratelli. If time permits, we will discuss the stability of Sobolev inequality.

Filed under: