Dana Bartosova: About the conjecture that oligomorphic groups have metrizable universal minimal flows

Place:  Fields Institute (Room 210)

Date: 27-March-2015 (13:30-15:00)

Title: About the conjecture that oligomorphic groups have metrizable
universal minimal flows
Abstract: We will discuss a conjecture of Lionel Nguyen van Th\’e as
in the title. It was shown by Andy Zucker to be equivalent to whether
every class of finitary approximations of a countable ultrahomogeneous structure with oligomorphic automorphism group has a finite Ramsey degree. We look at the problem from the Boolean algebra point of view. An interesting example in this context is the automorphism group of a topological structure whose natural quotient is the pseudo-arc, which is a work in progress with Aleksandra Kwiatkowksa (UCLA).

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