Graduate Analysis Seminar: Prekopa-Leindler inquality and the sharp Sobolev inequality
- Event Type
- Seminar/Symposium
- Sponsor
- n/a
- Location
- 347 Altgeld Hall
- Date
- Nov 19, 2021 2:00 pm
- Speaker
- Daesung Kim, UIUC
- Contact
- Ryan McConnell
- ryanm12@illinois.edu
- Views
- 11
Prekopa-Leindler inequality is a functional version of Brunn-Minkowski inequality, and has a close relation to many interesting inequalities. We discuss the proof of Prekopa-Leindler inequality using optimal transport technique. As an application, we derive the sharp Sobolev inequality.