BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20260601T072522EDT-0353WvS38k@132.216.98.100 DTSTAMP:20260601T112522Z DESCRIPTION:Title: Nash and Whitney problems in convex valuation theory\n\n Abstract: A (convex\, smooth) valuation is a finitely additive measure on convex bodies\, satisfying a smoothness condition\; many interesting objec ts in convex and differential geometry are in fact valuations.\n\nAssume t hat a collection of valuations is given on a family S of subspaces of R^n . Are they the restrictions of a single valuation? Clearly\, compatibility of the given data on intersections is a necessary condition. Is it suffic ient?\n\nWe will discuss several geometrically distinct instances of this problem\, whence it acquires distinct flavors.\n\nWhen S is the whole k-gr assmannian\, and the valuations j-homogeneous\, we will see that the condi tion is sufficient\, provided k-j>1. This can be seen as a dimensional loc alization of the transition from densities to valuations.\n\nIn another se tting where S consists of pairwise non-intersecting subspaces\, we again e stablish a positive answer. As a corollary\, we will deduce a Nash embeddi ng theorem for smooth valuations on manifolds.\n\nFinally\, we will consid er the setting of finite generic families of subspaces\, giving rise to a surprising extension phenomenon.\n\nBased on a joint work with Georg Hofst aetter.\n\nCRM\, Université de Montréal\, Pavillon André-Aisenstadt\, room 5340\, and by Zoom (see link below)\n\nJoin Zoom Meeting\n\nhttps://us06w eb.zoom.us/j/83180453914?pwd=RQnoWH7aQqXAxldXZsqdafFCmh7dBC.1\n\nMeeting I D: 831 8045 3914\n\nPasscode: 719821\n DTSTART:20231124T190000Z DTEND:20231124T200000Z SUMMARY:Dmitry Faifman (Tel Aviv University) URL:/mathstat/channels/event/dmitry-faifman-tel-aviv-u niversity-352834 END:VEVENT END:VCALENDAR