BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Michael Roysdon\, Jesus Yepes Nicolas (Tel Aviv University) DTSTART:20201103T153000Z DTEND:20201103T163000Z DTSTAMP:20260423T035822Z UID:OAGAS/40 DESCRIPTION:Title: F urther inequalities for the Wills functional of convex bodies\nby Mich ael Roysdon\, Jesus Yepes Nicolas (Tel Aviv University) as part of Online asymptotic geometric analysis seminar\n\n\nAbstract\nMichael Roysdon\, Tel Aviv University\, Israel\n\nTopic:$L_p$-Brunn-Minkoswki type inequalities and an $L_p$-Borell-Brascamp-Lieb inequality\, 10:30-10:50\n\nAbstract: t he classical Brunn-Minkowski inequality asserts that the volume of convex Minkowski combination exhibits (1/n)-concavity when applied for any pair o f convex bodies (or more generally\, Borel sets). Many advancements of thi s inequality have been studied throughout the year\, famous examples of su ch mathematicians who pursued these studies are Prekopa\, Leindler\, and B rascamp and Lieb. The goal of this talk is to introduce the "L_p" versions of such inequalities following the L_p-Minkowski sum introduced by Firey (and later more generally by Lutwak\, Yang\, and Zhang)\, as well as it's associated L_p_ Brunn-Minkowksi inequality. In particular\, we show that s uch inequalities hold in the class of s-concave measures\, and discuss the related isoperimetric inequality (joint with S. Xing).\n\nJesús Yepes Ni colás\, Universidad de Murcia\, Spain\n\nTopic: Further inequalities for the Wills functional of convex bodies.\n\nAbstract: The Wills functional o f a convex body\, defined as the sum of its intrinsic volumes\, turned out to have many interesting applications and properties. In this talk\, maki ng profit of the fact that it can be represented as the integral of a log- concave function\, which is furthermore the Asplund product of other two l og-concave functions\, we will show new properties of the Wills functional . Among others\, we get Brunn-Minkowski and Rogers-Shephard type inequalit ies for this functional and show that the cube of edge-length 2 maximizes it among all 0-symmetric convex bodies in John position. Joint work with D avid Alonso-Guti�rrez and Mar�a A. Hern�ndez Cifre.\n LOCATION:https://researchseminars.org/talk/OAGAS/40/ END:VEVENT END:VCALENDAR