Topology Seminar, Sara Maloni (Brown): 'Polyhedra inscribed in quadrics, anti-de Sitter and half-pipe geometry.'

Wednesday, November 5, 2014
4:15 PM - 5:15 PM (ET)
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Academic Calendar
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David Constantine
Department
Math CS Topology et al. Seminar
Link
https://eaglet.wesleyan.edu/MasterCalendar/EventDetails.aspx?EventDetailId=63505

Abstract: In this talk we will show that a planar graph is the1-skeleton of a Euclidean polyhedron inscribed in a hyperboloid if and only if it is the 1-skeleton of a Euclidean polyhedron inscribed in a cylinder if and only if it is the 1-skeleton of a Euclidean polyhedron inscribed in a sphere and has a Hamiltonian cycle. This result follows from the characterisation of ideal polyhedra in anti-de Sitter and half-pipe space in terms of their dihedral angles and induced metric on its boundary.(This is joint work with J Danciger and J-M Schlenker.)

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