Special Colloquium
Anton Bernshteyn
Carnegie Mellon University
The Lovász Local Lemma in combinatorics, set theory, and dynamics
Abstract: Measurable combinatorics studies the interaction between classical combinatorial concepts, such as graph colorings and matchings, and notions from measure theory and topology. Results in this area enable one to apply combinatorial techniques to problems in other (seemingly unrelated) branches of mathematics, such as the study of dynamical systems. In this talk I will explain how a particular combinatorial tool---the so-called Lovász Local Lemma---can be adapted for the purposes of measurable combinatorics, and present an array of applications in ergodic theory and topological dynamics.
Wednesday December 4, 2019 at 3:00 PM in 636 SEO