Asymptotic Analysis Seminar: Algebraic Structures on the Family of Convex Sets

Tuesday, April 7, 2015 - 11:00am - 12:00pm
Lind 305
Liran Rotem (Tel Aviv University)
In the first part of the talk we will discuss different addition operations between convex sets. The main goal of this part would be to understand which properties of the Minkowski addition characterize it uniquely.

In the second part we will present a new construction for the geometric mean of two convex bodies, and prove some of its properties. We will also explain the relationship between this construction and the log-Brunn-Minkowski conjecture, and discuss some open problems.

Based on joint works with Vitali Milman.