Time:  12  1:20 p.m. 
Room: 
CFA 110

Speaker:  Alexei Kolesnikov Graduate Student in Mathematical Sciences Carnegie Mellon University 
Title: 
On nsimplicity

Abstract: 
I will talk about my research that was originally
motivated by the question of when does a simple theory have the
property of $n$dimensional amalgamation (where 2dimensional
amalgamation corresponds to the Independence theorem for simple
theories). To answer that question, I develop the notion of
$n$simplicity for $1\le n\le \omega$, where ``1simple'' is the
same as ``simple.'' I will present the definitions and give
examples of simple unstable theories in each subclass. I sketch
the proofs of 3dimensional amalgamation property for 2simple
theories, and, under an additional assumption, $(n+1)$dimensional
amalgamation property for $n$simple theories. I will also talk
about some open problems.

Organizer's note:  Please bring your lunch.
