BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Vitali Milman and Liran Rotem (TAU\, Technion) DTSTART:20200523T153000Z DTEND:20200523T163000Z DTSTAMP:20260423T035917Z UID:OAGAS/12 DESCRIPTION:Title: N ovel view on classical convexity theory\nby Vitali Milman and Liran Ro tem (TAU\, Technion) as part of Online asymptotic geometric analysis semin ar\n\n\nAbstract\nIn this talk we will introduce and study the class of fl owers. A flower in R^n is an arbitrary union of balls which contain the or igin. While flowers are not necessarily convex\, they are in one to one co rrespond with the class of convex bodies containing the origin\, so by stu dying flowers we are also studying convex bodies from a new viewpoint. We will give several equivalent definitions of flowers and describe some of t heir basic properties. We will also discuss how to apply an arbitrary (rea l) function to a flower\, and the corresponding construction for convex bo dies. In particular\, we will explain how to raise a flower to a given pow er. Finally\, we will discuss some elements of the asymptotic theory of fl owers. In particular we will present a Dvoretzky-type theorem for flowers which actually gives better estimates than the corresponding estimates for convex bodies. Based on two papers by the speakers\, the first of which i s joint with E. Milman.\n LOCATION:https://researchseminars.org/talk/OAGAS/12/ END:VEVENT END:VCALENDAR