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Logic Seminar

"Homology groups for types in stable theories"

Location: 
Date & time: Monday, 03 April 2017 at 5:00PM -

 

Alexei Kolesnikov , Towson University

"Homology groups for types in stable theories"
Time: 5:00 PM
Location: Hill 705
Abstract: (Joint work with John Goodrick and Byunghan Kim.)

This talk will discuss the study of the type amalgamation properties in first-order theories by means of certain homology groups of types. The main focus of the talk will be on the theorem saying that if a first-order theory T is stable and n is the smallest natural number such that the n-th homology group of a strong type p is non-trivial, then the n-th homology group of p is isomorphic to the automorphism group of a specific part of the algebraic closure of n independent realizations of p. A by-product of the analysis is the conclusion that the automorphism group must be abelian.

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