Using Logic to Investigate Homeomorphism Groups of Manifolds

Explore a mathematical seminar where Thomas Koberda from the University of Virginia discusses innovative approaches to understanding homeomorphism groups of manifolds through the lens of mathematical logic and descriptive set theory. Learn about the classical characterization of countable groups of homeomorphisms on intervals and circles through linear and circular orderability, and discover new perspectives on the challenging problem of understanding countable groups acting on compact manifolds in higher dimensions. The presentation covers collaborative research with Sang-hyun Kim, J. De la Nuez Gonzalez, and Yash Lodha, offering insights into this deep area of mathematical research. This Joint IAS/PU Groups and Dynamics Seminar takes place at Simonyi 101 on April 1, 2025, at 4:30pm.