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Countable Subgroups of Homeomorphism Groups: Dimension One and Beyond

Offered By: Centre de recherches mathématiques - CRM via YouTube

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Topology Courses Group Theory Courses Dimension Theory Courses Manifolds Courses Regularity Theory Courses Finitely Generated Groups Courses

Course Description

Overview

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Explore countable subgroups of homeomorphism groups in this 50-minute lecture from the Workshop on Orderable Groups. Delve into problems concerning finitely generated and countable subgroups with specific properties, focusing on regularity in dimension one and examining aspects of joint work with S. Kim on critical regularity. Learn about a program to generalize one-dimensional results to higher dimensions, and discover recent findings on the model theory of homeomorphism groups of compact manifolds. Gain insights into potential future generalizations of these ideas, presented by Thomas Koberda at the Centre de recherches mathématiques (CRM).

Syllabus

Thomas Koberda: Countable subgroups of homeomorphism groups: dimension one and beyond


Taught by

Centre de recherches mathématiques - CRM

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