Geometric Functional Inequalities, Old and New

Explore geometric functional inequalities in this 46-minute lecture by Galyna Livshyts from the Hausdorff Center for Mathematics. Delve into a general scheme that reframes certain geometric functional inequalities as statements about the convexity of functionals. Discover how this approach, inspired by Bobkov and Ledoux's work, yields various intriguing inequalities. Examine the connection between Ehrhard's inequality and Bobkov's inequality, and learn about several new, more general inequalities. Gain insights from Livshyts' joint project with Barthe, Cordero-Erausquin, and Ivanisvili, and briefly touch upon results from her collaboration with Cordero-Erausquin and Rotem.