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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
 
Parent Programs:
Geometric Group Theory
 
Return to Workshop Description
 

A crash course on mapping class groups, I: Algebra versus topology

Monday August 27, 2007

01:00PM - 01:50PM

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.

Lecture I will concentrate on the basics of the mapping class groups, including finite generation and vanishing H_1 of mapping class groups, and the Dehn-Nielsen-Behr theorem. One big theme here will be the relationship between topology, hyperbolic geometry, and the group theory of the mapping class group.
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