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GTC Postdoc Seminar: Weakly inscribed polyhedra November 06, 2017 (12:45 PM PST - 01:30 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Hao Chen (University of Luxembourg)
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We propose three characteristics for polyhedra in the 3-dimensional projective space with all their vertices on a sphere but not contained in the sphere. The first characterizes the dihedral angles of such polyhedra by linear programming. The second characterizes the hyperbolic-de Sitter metric induced by the boundary. The third is a surprising purely combinatorial characterization for the combinatorial types. This is a step towards the complete solution of Steiner's problem, the history of which will be reviewed in this talk.

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