Department of Mathematics
Title : The discovery of hyperbolization of a knot complement - Part 1 : background
| Speaker: Matthieu Jacquemet Affiliation: University of Fribourg/Freiburg Time: 10 am Friday, 23 March, 2012 Location: 303S-561 |
Abstract
| In 1975, Riley produced the explicit hyperbolic structure on the figure-eight complement. This was the first example of hyperbolization of a knot complement. The goal of this talk is to give a survey of the necessary material to understand its algebraic and geometric aspects. We will mainly deal with 3 topics : knots (their complement, Wirtinger presentation), hyperbolic geometry (isometries, Kleinian groups, 3-manifolds), and the Poincare polyhedron theorem. |
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Programmes and Centres
- New Zealand Institute of Mathematics and its Applications (NZIMA)
- Community for Understanding and Learning in the Mathematical Sciences (CULMS)
- Centre for Mathematical Social Science (CMSS)
- Department of Computer Science
- Department of Engineering Science
- Department of Physics
- Department of Statistics
- Auckland Bioengineering Institute
