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Workshop on Simple Theories

October 19-22, 2000

Toronto, ON, Canada

Mathematics

Host: Fields Institute
Homepage: http://www.fields.utoronto.ca/simple.html
Email: simple@fields.utoronto.ca

Organizers: Bradd Hart, Anand Pillay

Description:
Simple theories, a generalization of stable theories, were first defined by Shelah in his 1980's article "Simple, unstable theories". The subject remained essentially dormant until the foundational work of Kim and Pillay on the forking relation in simple theories, and the related work of Hrushovski on specific simple theories such as smoothly approximable structures and algebraically closed fields with an automorphism.

The past five years have seen an enormous amount of work by many researchers, in which more and more of the stability-theoretic machinery has been generalized to simple theories, and at the same time interesting new obstacles and phenomena have been observed.

The goal of this workshop is to examine this progress and report on the most current developments. Among the topics will be outstanding foundational issues related to Lascar strong types, local forking and stable forking, as well as the role of groups in simple theories, and applications.

Date received: September 02, 2000


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