Rory Ainslie (University of Leeds)

M.e.c. limits of homogeneous structures

In this talk, I aim to give a glimpse into the study of m.e.c. limits, especially those of homogeneous structures. This is centred upon a conjecture of MacPherson, Steinhorn, Anscombe, and Wolf, that a homogeneous structure has a m.e.c. limit if and only if it is stable. I’ll give some background, talk through some examples and outline a novel method of tackling this question for certain unstable homogeneous structures.