Colloquium: Liran Rotem (Technion): The (B)-conjecture and ​functional inequalities


Title: The (B)-conjecture and​functional inequalities


Abstract:


The log-Brunn-Minkowski inequality is an open problem in convex geometry regarding the volume of convex bodies. The (B)-conjecture is an apparently different problem, originally asked by probabilists, which turned out to be intimately related the the log-Brunn-Minkowski inequality. 
We will discuss the two problems and their history. We will then concentrate on the (B)-conjecture and explain how it can be attacked by generalizing some known functional inequalities. Finally, we will discuss what is known about these generalized inequalities.
The talk will be accessible to a wide audience. The (small) part dedicated to our own work is based on joint work with Dario Cordero-Erausquin.

Date: 

Thu, 21/11/2019 - 14:30 to 15:30

Location: 

Manchester Building (Hall 2), Hebrew University Jerusalem