Speaker: Sumun Iyer
Cornell University
Will give a Logic Seminar entitled:
Dynamics of the Knaster continuum homeomorphism group
Abstract: We will provide an introduction to the tool of projective Fraisse limits, developed by Irwin-Solecki to study compact connected spaces. We use the projective Fraissé approach and Ramsey's theorem to show that the universal minimal flow of the homeomorphism group of the universal Knaster continuum is homeomorphic to the universal minimal flow of the free abelian group on countably many generators. We will define a projective Fraissé class whose limit approximates the universal Knaster continuum in such a way that the group Aut(K) of automorphisms of the Fraissé limit is a dense subgroup of the group, Homeo(K), of homeomorphisms of the universal Knaster continuum. The computation of the universal minimal flow involves modifying the Fraissé class in a natural way so that it approximates an open, normal, extremely amenable subgroup of Homeo(K).
Date: 05-07-2024
Time: 2:00 pm
Location: 231 Hayes-Healy Bldg