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International Conference on Modern Algebra in conjunction with the 17th annual Shanks Lectures
May 21-24, 2002
Vanderbilt University
Nashville, TN, USA

Organizers
Jonathan Farley, Ralph Freese, Matthew Gould, Peter Jipsen, George McNulty, Miklos Maroti, Alexander Ol'shanskii, Steven Tschantz, Constantine Tsinakis, Matthew Valeriote

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On elementary theories of free groups
by
Alexei Myasnikov
City College of New York
Coauthors: Olga Kharlampovich

In this talk I am going to discuss our solution of Tarski problems on elementary theories of free non-abelian groups. The methods involved here show a remarkable interplay between combinatorial group theory, algebraic geometry, and topology. A special attention will be paid to implicit function theorems and the role they play in the model theory of free groups.

Date received: May 8, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajl-08.