| |
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 |
| |
An introduction to Thompson's group F
Tuesday August 28, 2007
03:45PM - 04:35PM
Speakers:
Jennifer Taback
Abstract:
Richard Thompson's group F is a widely studied group which has
provided examples of and counterexamples to a variety of conjectures
in group theory. From the perspective of geometric group theory, F
is an interesting group because it can be studied either as a
finitely or infinitely presented group. Additionally, elements of
F can be understood in three very different ways: algebraically,
analytically and combinatorially. I will explain why these
interpretations are equivalent, describe a method of computing the
word length of group elements with respect to the standard finite
generating set for F, and discuss some open problems concerning this
group.
|
