MATH Seminar

Title: A discussion on the Log-Brunn-Minkowski Conjecture and Related Questions
Seminar: Analysis and Differential Geometry
Speaker: Professor Galyna Livshytz of Georgia Institute of Technology
Contact: Vladimir Oliker, oliker@emory.edu
Date: 2020-04-07 at 4:00PM
Venue: https://emory.zoom.us/j/352530072
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Abstract: 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.