Title: Geometric functional inequalities
Time:October 10 (Thursday) 3: 00-4: 00 pm
Location:X2510
Abstract:Firstly we will briefly recall the development of the so called functionalization of geometric inequalities in the past decade. Then we will discuss about a recent research related to the polar transform for geometric convex functions which was rediscovered and studied by Artstein-Avidan and Milman. It is considered as the natural extension of the notion of polarity from convex bodies. Be specific, we will discuss a topological structure on the set of convex function of interest and then we show that the extremal cases in some certain inequalities can be indeed achieved.
