Galyna Livshyts: A discussion on the Log-Brunn-Minkowski conjecture... (Georgia Tech) May 1, 2020

May 1: Galyna Livshyts (Georgia Tech) A discussion on the Log-Brunn-Minkowski conjecture and related questions We shall discuss the Log-Brunn-Minkowski conjecture, a conjectured strengthening of the Brunn-Minkowski inequality proposed by Boroczky, Lutwak, Yang and Zhang. The discussion will involve introduction and explanation of how the local version of the conjecture arises naturally, a collection of ‘’hands on’’ examples and elementary geometric tricks leading to various related partial results, statements of related questions as well as a discussion of more technically involved approaches and results. Based on work with Johannes Hosle and Alexander Kolesnikov, as well as on previous joint results with Colesanti, Marsiglietti, Nayar, Zvavitch.