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Topics in Geometric Group Theory

November 05, 2007 to November 09, 2007
Organized By: Noel Brady, Mike Davis, Mark Feighn
 
Parent Programs:
Geometric Group Theory
 
Return to Workshop Description
 

Geometric Makanin algorithm for solving equations in virtually free groups

Thursday November 8, 2007

09:00AM - 09:50AM

Speakers:
Vincent Guirardel

Abstract:

We give an algorithm deciding whether a system of equations and inequations in a virtually free group has a solution. This is done by giving a new geometric proof of Makanin’s algorithm, based on Rips theory for foliated 2-complexes. Applications include the solution of equations in hyperbolic groups, and the isomorphism problem between hyperbolic group in presence of torsion. This is a joint work with François Dahmani.
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