Title: Entropic and functional forms of dimensional Brunn-Minkowski inequality in Gauss space
Speaker: Dongbin Li（University of Alberta）
Time: 12.04 (Thursday), 14:30-15:30
Venue: Room 315, Gewu Building
Abstract:The Gaussian measure on Rn, when restricted to origin-symmetric convex bodies, satisfies 1/n-concavity under Minkowski averages--a result of Eskenazis and Moschidis which confirms the Gardner--Zvavitch conjecture. In this talk, we view this geometric phenomena through the lens of entropy. Using mass transport techniques, we derive a more general formulation that not only strengthens the original geometric inequality but also naturally yields its functional forms. Based on joint work with Gautam Aishwarya.
