Fields institute,Room 210
Speaker: Dana Bartosova
Title: Filter dynamical systems II
Abstract: This time, we will focus on general topological groups and show that many dynamical notions naturally translate into the language of filters. We will construct disjoint large subsets of non-precompact topological groups showing that the greatest ambit has infinitely many disjoint minimal left ideals. This result was inspired by a problem of Ellis asking for which groups homomorphisms from the greatest ambit into the universal minimal flow separate points. We will finish up with a sketch of a simplified proof that groups of isometries of generalized Urysohn spaces are extremely amenable.