A. Miasnikov, Various faces of fully residually free groups and algorithmic problems
In this talk I am going to discuss various incarnations of finitely generated fully residually free groups. They appear naturally in algebraic geometry over groups, in the theory of equations over free groups, and play important part in the recent solution of the Tarski's problems. This gives a host of different techniques to solve various algorithmic problems. In particular, one can construct effectively JSJ decompositions of these groups and solve the isomorphism problem.
Last modified: Wed Jun 2 17:48:37 BST 2004