BIRS Workshop Lecture Videos
Amenability and the Hrushovski property for Fraisse classes of directed graphs Pawliuk, Micheal
This is joint work separately with Miodrag Sokic and Marcin Sabok. Given a Fraisse class, there are the related combinatorial questions: "Does this class have the Hrushovski property?" and "Is the automorphism group of the Fraisse limit an amenable group?". Building on work of Angel-Kechis-Lyons and Zucker the amenability question has recently been answered for all Fraisse classes of directed graphs, and using a Mackey-type construction the Hrushovski question has recently been answered for the same classes. We will survey the results and the techniques used.
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