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Model Theory Seminar
Adam Gutter
Carnegie Mellon University
Title: Superstable Fields and Groups - Part I

Abstract: This series of talks will focus on proving a theorem of Cherlin and Shelah (1980): If F is an infinite field with a superstable theory, then F is algebraically closed. This extends a result by Macintyre (1971) which states that any infinite omega-stable field is algebraically closed. The proof proceeds via results about stable groups, which are applied to the additive and multiplicative groups of a field F, along with the superstability assumption and elementary Galois theory.

The first talk will focus on an indecomposability theorem for stable groups (which we will later apply to our field).

Date: Monday, September 15, 2014
Time: 5:00 pm
Location: Wean Hall 8220
Submitted by:  Grossberg