BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Semyon Alesker (Tel Aviv University) DTSTART:20200616T143000Z DTEND:20200616T153000Z DTSTAMP:20260423T035916Z UID:OAGAS/17 DESCRIPTION:Title: M ultiplicative structure on valuations and its analogues over local fields. \nby Semyon Alesker (Tel Aviv University) as part of Online asymptotic geometric analysis seminar\n\n\nAbstract\nValuation on convex sets is a c lassical notion of convex geometry. Multiplicative structure on translatio n invariant smooth valuations was introduced by the speaker years ago. Sin ce then several non-trivial properties of it have been discovered as well as a few applications to integral geometry. In the first part of the talk we will review some of these properties. Then we discuss analogues of the algebra of even translation invariant valuations over other locally compac t (e.g. complex\, p-adic) fields. While any interpretation of these new al gebras is missing at the moment\, their properties seem (to the speaker) t o be non-trivial and having some intrinsic beauty.\n LOCATION:https://researchseminars.org/talk/OAGAS/17/ END:VEVENT END:VCALENDAR