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Explore advanced concepts in geometric group theory through this mathematical seminar lecture delivered by Dr. Harry Petyt from the University of Oxford at the Isaac Newton Institute. Delve into the intricate relationship between hyperconvexity and quasiflats, two fundamental concepts in metric geometry and geometric group theory. Examine how hyperconvex spaces, which possess strong convexity properties, interact with quasiflats - geometric structures that behave like flat spaces at large scales but may have local irregularities. Learn about the theoretical foundations, key properties, and applications of these concepts in understanding the geometry of groups and metric spaces. Discover current research developments and open problems in this specialized area of mathematics, presented as part of the Operators, Graphs, Groups research programme focusing on the interconnections between operator algebras, graph theory, and geometric group theory.
