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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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Locally Finite Varieties
by
Ralph McKenzie
Vanderbilt University

I will discuss solved and unsolved problems for locally finite varieties. Detailed study of the iteraction between polynomial functions and congruences in finite algebras produced a tool, tame congruence theory, which has been applied very successfully to discover and prove unsuspected general results about locally finite varieties. It is a mystery why so many of these results turned out to be provable, by other means, for non-locally finite varieties.

Date received: February 27, 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 # caig-84.