Workshop on Simple Theories
October 18-22, 2000
Overview
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.
Organizers
This event is organized by:
Bradd Hart,
Deputy Director, The Fields Institute and
Anand Pillay, Department of
Mathematics, University of Illinois
Students and beginning researchers are especially welcome.
SCHEDULE
Thursday Oct. 19
9.30 - A. Pillay, Introduction.
11.00 - D. Lascar, "A survey of strong types"
2.00 - F. Wagner, ""Liaisons
simples"
3.30 - T. Scanlon, "Supersimple
division rings"
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Friday Oct. 20.
9.30 - E. Casanovas, "Low
and some other classes of simple theories"
11.00 - F. Wagner, "Local supersimplicity"
2.00 - Z. Shami, "Direct limit definability of binding groups in simple
theories"
3.30 - Z. Chatzidakis, "Forking in
omega-free PAC fields".
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Saturday Oct 21.
9.30 - B. Kim, to be announced.
11.00 - O Lessmann, "Simple homogeneous models I".
2.00 - onwards: talks by students. (To be arranged at the meeting.)
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Sunday Oct 22.
9 .30 - S. Buechler, "Simple homogenous
models II"
11.00 - A. Pillay, "Some problems in local simplicity".
List of Participants
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