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Explore advanced mathematical concepts in this public lecture delivered by Professor Maria Beatrice Pozzetti from Università di Bologna at the Isaac Newton Institute for Mathematical Sciences. Delve into the sophisticated realm of higher rank Teichmüller theories, examining their mathematical foundations and contemporary developments in this specialized area of geometric topology and algebraic geometry. Learn about the extension of classical Teichmüller theory to higher rank settings, understanding how these theories generalize the study of moduli spaces of geometric structures on surfaces. Discover the connections between representation theory, differential geometry, and algebraic topology as they apply to these advanced mathematical frameworks. Gain insights into current research directions and applications of higher rank Teichmüller theories within the broader context of modern mathematics, presented as part of the Operators, Graphs, Groups research programme.
