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Graphs on surfaces and curves over number fields
September 29, 2021 18:30, Moscow, Lomonosov Moscow State University, room 14-15, 18:30 - 20:30


Trigonometry of tetrahedra, rational elliptic surfaces and the results of Joseph Wolstenholme

Daniil Rudenko

University of Chicago



Abstract: I will explain how to construct a rational elliptic surface out of every non-Euclidean tetrahedra. This surface "remembers" the trigonometry of the tetrahedron: the length of edges, dihedral angles and the volume can be naturally computed in terms of the surface. The construction is based on relating mixed Hodge structures, associated to the tetrahedron and the corresponding surface.

Language: English


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