Geometric Group Theory Seminar - George Domat

George
February 4, 2025
1:50PM - 2:50PM
Math Tower (MW) 152

Date Range
2025-02-04 13:50:00 2025-02-04 14:50:00 Geometric Group Theory Seminar - George Domat George DomatUniversity of MichiganTitleClassification of Stable Surfaces with respect to Automatic ContinuityAbstractTopological groups often exhibit lots of interplay between their algebraic and topological structures. A stark example of this is the automatic continuity property: A topological group has the automatic continuity property if every (algebraic) homomorphism to any other separable group is continuous. We provide a complete classification of when the homeomorphism group of a stable surface has the automatic continuity property. Towards this classification, we provide a general framework for proving automatic continuity for groups of homeomorphisms. This is joint work with Mladen Bestvina and Kasra Rafi.  Math Tower (MW) 152 America/New_York public

George Domat
University of Michigan

Title
Classification of Stable Surfaces with respect to Automatic Continuity

Abstract
Topological groups often exhibit lots of interplay between their algebraic and topological structures. A stark example of this is the automatic continuity property: A topological group has the automatic continuity property if every (algebraic) homomorphism to any other separable group is continuous. We provide a complete classification of when the homeomorphism group of a stable surface has the automatic continuity property. Towards this classification, we provide a general framework for proving automatic continuity for groups of homeomorphisms. This is joint work with Mladen Bestvina and Kasra Rafi.
 

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