- Series
- Analysis Seminar
- Time
- Wednesday, February 21, 2024 - 2:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Max Fathi – Etablissement public experimental, Paris, France – mfathi@lpsm.paris – https://www.normalesup.org/~mfathi/
- Organizer
- Galyna Livshyts
In this talk, I will present some joint works with Tom Courtade on characterizing probability measures that optimize the constant in a given functional inequalitiy via integration by parts formulas, and how Stein's method can be used to prove quantitative bounds on how close almost-optimal measures are to true optimizers. I will mostly discuss Poincaré inequalities and Gaussian optimizers, but also some other examples if time allows it.