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Explore the sheaf-theoretic approach to quantum deformation in this advanced mathematics lecture by Rita Fioresi from the University of Bologna. Learn how to apply sheaf theory to obtain quantum deformations of relevant spaces as quotients of algebraic groups, with particular focus on quantum principal bundles that correspond classically to the projection of an algebraic group onto its quotient by the maximal parabolic subgroup. Discover the framework for differential calculi on quantum principal bundles within a sheaf-theoretic context, examining the mathematical structures that emerge when classical geometric concepts are extended to the quantum realm. Gain insights into the intersection of algebraic geometry, quantum groups, and differential geometry through this specialized presentation delivered at the Banach Center.
