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Introduction to Geometric Group Theory |
| August 27, 2007 to August 31, 2007 |
| Organized By: Mladen Bestvina, Jon McCammond, Michah Sageev, Karen Vogtmann |
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| Parent Programs: |
| Geometric Group Theory |
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| Return to Workshop Description |
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A crash course in mapping class groups, II: Moduli space and the Thurston Classification
Wednesday August 29, 2007
10:30AM - 11:20AM
Speakers:
Benson Farb
Abstract:
In these lectures I'll try to give a whirlwind tour of this fascinating subject, stopping to smell at least some of the roses. I will also state a number of open problems along the way.
In lecture II I'll describe Teichmuller space and the moduli space of Riemann surfaces, and we'll see how the mapping class group plays a central role. I'll describe a universal property of moduli space. Then I'll explain Bers's proof of the Thurston classification of surface homeomorphisms, which uses Teichmuller geometry. It is a paradigm for a whole way of thinking.
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