Aris Papadopoulos (University of Leeds)

Ordering Ramsey Classes via the Modelling Property

Note room change: MAGIC

(Joint work with N. Meir) Generalised indiscernibles are one of the most useful tools in a model theorist's toolbox. Existence of generalised indiscernibles is closely connected with Ramsey's theorem, in a way made very explicit by Scow. In my talk will present and explain the basic background for generalised indiscernibles, Ramsey classes, and Scow's theorem. Then, I will discuss some techniques we recently introduced to generalise Scow's theorem, removing from it (almost) all technical assumptions. Finally, time permitting, I will mention how as an almost immediate corollary of our results, we obtain that every Ramsey class (not necessarily countable) admits a linear order which is the union of quantifier-free types.

• Speaker's homepage