| |
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 |
| |
Triangle, Squares and Biautomaticity
Friday August 31, 2007
02:00PM - 02:50PM
Speakers:
Jon McCammond
Abstract:
One of the more natural candidates for a theory that would encompass both nonpositively curved cube complexes and simplicial nonpositive curvature is the study of (suitably restricted) complexes built out of direct products of regular simplices. And a natural test case for the theory is whether one can prove a (bi)automaticity result using a language that generalizes the natural languages in the two motivating cases. Rena Levitt and I have been investigating the 2-dimensional base case of such a grand unification program and the results are somewhat subtle and surprising. My talk will mostly focus on nonpositively curved 2-complexes built out of triangles and squares with some comments on their higher dimensional generalizations.
|
