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Combinatorial and Geometric Group Theory
May 5-10, 2006
Vanderbilt University
Nashville, TN, USA

Organizers
Goulnara Arzhantseva, Mike Mihalik, Denis Osin, Mark Sapir, Efim Zelmanov

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Periodic points of self-maps of algebraic varieties and their applications to group theory.
by
Alexander Borisov
Penn State University
Coauthors: Mark Sapir (Vanderbilt)

Together with Mark Sapir, we proved that all mapping tori of free group automorphisms are residually finite. The proof uses periodic points of self-maps of algebraic varieties over finite fields. I will explain the main ideas of the proof without going into the technical algebraic geometry details.

Date received: March 18, 2006

Copyright © 2006 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 # caqu-89.