BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Boaz Klartag (Weizmann Institute of Science) DTSTART:20210303T121000Z DTEND:20210303T133000Z DTSTAMP:20260423T004825Z UID:GDS/24 DESCRIPTION:Title: Rig idity of Riemannian embeddings of discrete metric spaces\nby Boaz Klar tag (Weizmann Institute of Science) as part of Geometry and Dynamics semin ar\n\n\nAbstract\nLet M be a complete\, connected Riemannian surface and\n suppose that S is a discrete subset of M. What can we learn about M\nfrom the knowledge of all distances in the surface between pairs of\npoints of S? We prove that if the distances in S correspond to the\ndistances in a 2 -dimensional lattice\, or more generally in an\narbitrary net in R^2\, the n M is isometric to the Euclidean plane. We\nthus find that Riemannian emb eddings of certain discrete metric spaces\nare rather rigid. A corollary i s that a subset of Z^3 that strictly\ncontains a two-dimensional lattice c annot be isometrically embedded in\nany complete Riemannian surface. This is a joint work with M. Eilat.\n LOCATION:https://researchseminars.org/talk/GDS/24/ END:VEVENT END:VCALENDAR