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SUMMARY:Daniil Rudenko (University of Chicago)
DTSTART;VALUE=DATE-TIME:20220506T190000Z
DTEND;VALUE=DATE-TIME:20220506T200000Z
DTSTAMP;VALUE=DATE-TIME:20221209T231734Z
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/
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