BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jean-Marc Schlenker (Université du Luxembourg) DTSTART:20210420T133000Z DTEND:20210420T143000Z DTSTAMP:20260423T035542Z UID:Geometry/24 DESCRIPTION:Title: The Weyl problem for unbounded convex surfaces in H^3\nby Jean-Marc Schlenker (Université du Luxembourg) as part of Pangolin seminar\n\n\nAbs tract\nThe classical Weyl problem in Euclidean space\, solved in the 1950s \, askswhether any smooth metric of positive curvature on the sphere can b e realized as the induced metric on the boundary of a unique convex subset in $\\R^3$. It was extended by Alexandrov to the hyperbolic space\, where a dual problem can also be considered: prescribing the third fundamental form of a convex surface.\n\nWe will describe extensions of the Weyl probl em and its dual to unbounded convex surfaces in $H^3$. Two types of genera lizations can be stated\, one concerning unbounded convex surfaces\, the o ther unbounded locally convex surfaces. Both questions have as special cas es a number of known result or conjectures concerning 3-dimensional hyperb olic geometry\, circle packings\, etc. We will present a rather general ex istence result concerning convex subsets.\n LOCATION:https://researchseminars.org/talk/Geometry/24/ END:VEVENT END:VCALENDAR