Math
613— Fall 2001
Topics in Analysis
| Instructor: |
John Hubbard |
| Time: |
MWF 11:15–12:05 |
| Room: |
Malott 205 |
This course will concentrate on hyperbolic geometry and Kleinian groups,
and should be of interest to students in complex analysis and geometric
group theory.
We will start with the foundations of hyperbolic geometry, including
collaring theorems and the Margulis lemma, the connection with complex
analysis (uniformization, and the isomorphism of $SO(3,1)$ with $PSL_2(\Bbb
C)$), and subgroups of $PSL_2(\Bbb R)$ and $PSL_2(\Bbb C)$. We will continue
to study the works of Gromov and Thurston about hyperbolic groups.
The level of presentation and the precise choice of topics after the
beginning will depend very much on the audience.
Last modified:
April 7, 2003
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