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Home » DMS Postdoc Seminar: Andreev's theorem on projective Coxeter polyhedra

Seminar

DMS Postdoc Seminar: Andreev's theorem on projective Coxeter polyhedra March 27, 2015 (10:45 AM PDT - 11:30 AM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Gye-Seon Lee (Ruprecht-Karls-Universit├Ąt Heidelberg)
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In 1970, E.M. Andreev gave a full description of 3-dimensional compact hyperbolic polyhedra with dihedral angles submultiples of pi. We call them hyperbolic Coxeter polyhedra. More precisely, given a combinatorial polyhedron C with assigned dihedral angles, Andreev’s theorem provides necessary and sufficient conditions for the existence of a hyperbolic Coxeter polyhedron realizing C. Since hyperbolic geometry arises naturally as sub-geometry of real projective geometry, we can ask an analogous question for compact real projective Coxeter polyhedra. In this talk, I’ll give a partial answer to this question. This is a joint work with Suhyoung Choi.

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