
School of Mathematics and Statistics
Emmanuel Letellier
University of Sydney
Stability theory and algebraic geometry.
Friday 17th March, 121pm, Carslaw 175.
Model theory is very useful in solving consistency problems in Set Theory.
Recent developments, due principally to Shelah and Hrushovski, give a new
way to understand algebraic geometry. Following this approach, Hrushovski
was the first to prove the MordellLang conjecture for function fields in
all characteristics. After a brief talk on "classical model
theory", I will introduce the main ideas of Stability Theory within
the framework of algebraic geometry. Then, I would like to give a brief
description of the class of omegastable groups of finite Morley rank which
includes algebraic groups and I will conclude by discussing some
modeltheoritic approaches of algebraic groups.
