Logo

Mathematical Sciences Research Institute

Home » GTC Postdoc Seminar: Weakly inscribed polyhedra

Seminar

GTC Postdoc Seminar: Weakly inscribed polyhedra November 06, 2017 (12:45 PM PST - 01:30 PM PST)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Hao Chen (University of Luxembourg)
Description No Description
Video
No Video Uploaded
Abstract/Media

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.

No Notes/Supplements Uploaded No Video Files Uploaded