On the L_p-Brunn-Minkowski inequality for measures

Series
High Dimensional Seminar
Time
Wednesday, January 22, 2020 - 3:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Galyna Livshyts – Georgia Tech
Organizer
Galyna Livshyts

The first part of this pair of talks will be given at the Analysis seminar right before; attending it is not necessary, as all the background will be given in this lecture as well, and the talks will be sufficiently independent of each other.

I will discuss the L_p-Brunn-Minkowski inequality for log-concave measures, explain ‘’Bochner’s method’’ approach to this problem and state and prove several new results. This falls into a general framework of isoperimetric type inequalities in high-dimensional euclidean spaces. Joint with Hosle and Kolesnikov.