Bruno Martelli (Pisa): Constructions of hyperbolic manifolds from regular polytopes

Academic or specialist Colloquium / Congress / Forum

A hyperbolic manifold is a manifold with constant negative curvature. Riemann uniformisation and Thurston-Perelman geometrisation show the existence in dimension 2 and 3 of a big variety of hyperbolic manifolds, but their role in four and higher dimension is not yet clear.
In this seminar we introduce the basic theory of hyperbolic manifolds and construct various examples using regular polytopes in dimensions 2, 3, and 4.

When? 20.05.2014 17:15
Where? PER 08 Phys 2.52
Chemin du Musée 3
1700 Fribourg
Contact Department of Mathematics