Model Theory Seminar

School of Mathematics, University of Leeds

This week's seminar will be in MALL 2 and will be on Tuesday 1st April 10am. We will meet before the seminar at about 1.40pm in the common room for tea and coffee.

The seminar is organised by Will Anscombe.

Spring Term 2014

Week 12, Tuesday 1st April
Dugald Macpherson
Dimension for families of finite first order structures

A notion of `quasidimension' for definable sets in families of finite first order structures was proposed by Hrushovski and Wagner, and developed further by Hrushovski in work on approximate subgroups. I will describe joint work with Garcia and Steinhorn developing this. We investigate how quasidimension relates to forking, and find conditions on a class of finite structures which guarantee that all ultraproducts have (super)simple theory.