Dear all,

The seminar meets on Wednesday July 25th at 11:00 in the Institute of

Mathematics CAS, Zitna 25, seminar room, 3rd floor, front building.

Program: Aleksandra Kwiatkowska — Universal minimal flows of the

homeomorphism groups of Ważewski dendrites

For each P ⊆ {3,4,…,ω} there is a continuum called Ważewski dendrite

W_P, we can construct it in the framework of the Fraisse theory. If P is

finite, we prove that the universal minimal flow of the homeomorphism

group H(W_P) is metrizable and we compute it explicitly. This answers a

question of Duchesne. If P is infinite, we show that the universal

minimal flow of H(W_P) is not metrizable. This provides examples of

topological groups which are Roelcke precompact and have a

non-metrizable universal minimal flow with a comeager orbit.

Best,

David