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Explore recent applications of set-theoretic and model-theoretic methods in the study of topological groups in this one-hour conference talk by Michael Hrusak from the Universidad Nacional Autónoma de México-Morelia. Discover how ultra powers can be utilized to solve long-standing problems posed by Comfort and van Douwen. Learn about a new set-theoretic axiom introduced to examine convergence properties in topological groups. The talk may also touch upon the application of Fraissé theory in investigating groups of homeomorphisms, providing valuable insights into the intersection of set theory and topological algebra.
