Abstract:The topological group of homeomorphisms of d-dimensional Euclidean space is a basic object in geometric topology, closely related to understanding the difference between diffeomorphisms and homeomorphisms of all d-dimensional manifolds (except when d=4). I will explain some methods that have been used for studying the algebraic topology of this group, and report on a recently obtained...
Localization Schemes:A Framework for Proving Mixing Bounds in Markov ChainsSpeakerRonen Eldan is a professor at the Weizmann Institute of Science working on probability theory, mathematical analysis, theoretical computer science and the theory of machine learning. He received the 2018 Erdos Prize, the 2022 Blavatnik Award for Young Scientists and was a speaker at the 2022 International Congress...