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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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The spectrum function and varieties
by
Bradd Hart
Fields Institute for Research in Mathematical Sciences

In recently published work, Hrushovski, Laskowski and I completed the computation of all uncountable spectra for countable theories. A precursor to this was work done by Starchenko, Valeriote and I on the infinite spectra for varieties. This latter work was inspired by the beautiful decomposition result of McKenzie and Valeriote for decidable, locally finite varieties. In my talk, I will describe the possible spectra and give examples of each which are varieties.

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-07.