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Logic Seminar

Simplicity at a generic scale

Nick Ramsey of Berkeley

Location:  HILL 705
Date & time: Monday, 20 November 2017 at 5:00PM - 6:00PM

Abstract:  The notion of forking gives a combinatorial notion of independence that makes sense in an arbitrary theory and simultaneously generalizes linear independence in vector spaces and algebraic independence in algebraically closed fields.  Kim's thesis and subsequent work of Kim and Pillay developed the theory of forking in a simple theory and showed that simplicity may be characterized in several ways in terms of non-forking independence.  In recent work in Itay Kaplan, we introduced Kim-independence, which corresponds to non-forking at a generic scale, and show that NSOP_1 theories may be understood in terms of this relation.  In the talk, we will give an overview of the theory of Kim-independence and discuss the key examples.  

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