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Explore a 48-minute lecture on advanced mathematical concepts presented by Lukasz Grabowski at the Centre de recherches mathématiques (CRM). Delve into the generalization of Connes-Weiss and Glasner-Weiss theorems for Kazhdan equivalence relations and their application to cost theory. Discover how this research, conducted in collaboration with Hector Jardon Sanchez and Samuel Mellick, extends the work of Hutchcroft and Pete on the cost of Kazhdan groups to the context of graphings and equivalence relations. Learn about the novel concept of "groupoid cost" for Kazhdan equivalence relations and how it simplifies existing proofs. Gain insights into measured group theory and its implications for understanding complex mathematical structures.
