Title: The volume of a compact hyperbolic tetrahedron in terms of its edges
Reporter: Prof. Nikolay Abrosimov
Time: Oct 17, 2019 (Thursday) PM 15:30-16:30
Location: A1101# room, Innovation Park Building
Contact: Prof. LEI Fengchun (tel:84708360)
Abstract: In general, the problem is to find an exact formula for the volume of a hyperbolic polyhedron of prescribed combinatorial type. This is a very hard problem indeed. In general formulation, it was solved only for an arbitrary hyperbolic tetrahedron, which is a polyhedron of the simplest combinatorial type. The problem is still open for hyperbolic octahedra, hexahedra, etc. Moreover, all known formulas for arbitrary hyperbolic tetrahedron are expressing the volume in terms of its dihedral angles. In the present work, we obtain a general formula, which expresses the volume of a compact hyperbolic tetrahedron in terms of its edge lengths.
The brief introduction to the reporter: Nikolay abrosimov is a professor of Novosibirsk State University in Russia. His research direction is geometric topology. He has organized and hosted many academic conferences, including the Sino Russian knot and related topic seminars. He is mainly engaged in the research of hyperbolic manifold, and has published more than 20 academic papers.