Perfect Matchings in Hyperfinite Graphings - Lecture 3

Explore the geometric structure of amenable groups and hyperfinite graphings in this 56-minute lecture by Gabor Kun. Delve into the fascinating world of perfect matchings and their applications in various fields. Learn about recent breakthrough results, including the solution to Tarski's circle squaring problem using measurable and Borel pieces. Discover how perfect matchings typically exist in bipartite cases of amenable groups and hyperfinite graphings. Examine the wide-ranging applications of these concepts, from probability theory to group theory and measurable equidecompositions. Gain insights into this advanced mathematical topic as part of the Measured Group Theory program at the Centre de recherches mathématiques.