Geometry Seminar: Segerman -- Triangulations of Hyperbolic 3-Manifolds Admitting Strict Angle Structures

Speaker: Dr. Henry Segerman (Melbourne) 

http://www.ms.unimelb.edu.au/~segerman/

Time: Tuesday, July 17, 12(NOON)--1PM

Room: Carslaw 159

Lunch: after the talk (at Taste at Sydney Uni, i.e. 
"Law School Annex Cafe")

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Title: Triangulations of Hyperbolic 3-Manifolds Admitting 
Strict Angle Structures

Abstract: it is conjectured that every hyperbolic 3-manifold 
with torus boundary components has a decomposition into 
positive volume ideal hyperbolic tetrahedra (a "geometric" 
triangulation). Under a mild homology assumption on the 
manifold, we construct topological ideal triangulations 
which admit a "strict angle structure", which is a 
necessary condition for a triangulation to be geometric. 
In particular, every knot or link complement in S^3 that 
is hyperbolic has such a triangulation. 

This is joint work with Craig D. Hodgson and J. Hyam Rubinstein. 

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Web site for Geometry Seminar is at: 

http://www.maths.usyd.edu.au/u/SemConf/Geometry/index.html