BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Daniil Rudenko (University of Chicago) DTSTART:20220506T190000Z DTEND:20220506T200000Z DTSTAMP:20260407T214458Z UID:agstanford/89 DESCRIPTION:Title: Rational Elliptic Surfaces and Trigonometry of Non-Euclidean Tetrahedr a\nby Daniil Rudenko (University of Chicago) as part of Stanford algeb raic geometry seminar\n\n\nAbstract\nI will explain how to construct a rat ional elliptic\nsurface out of every non-Euclidean tetrahedra. This surfac e\n"remembers" the trigonometry of the tetrahedron: the length of edges\,\ ndihedral angles and the volume can be naturally computed in terms of\nthe surface. The main property of this construction is self-duality:\nthe sur faces obtained from the tetrahedron and its dual coincide. This\nleads to some unexpected relations between angles and edges of the tetrahedron. For instance\, the cross-ratio of the exponents of the spherical angles coin cides with the cross-ratio of the exponents of the perimeters of its faces . The construction is based on relating mixed Hodge structures\, associate d to the tetrahedron and the corresponding surface.\n\nThe synchronous dis cussion for Daniil Rudenko’s talk is taking place not in zoom-chat\, but at https://tinyurl.com/2022-05-06-dr (and will be deleted after ~3-7 days ).\n LOCATION:https://researchseminars.org/talk/agstanford/89/ END:VEVENT END:VCALENDAR