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Explore the second lecture on Gorenstein Duality in Topology delivered by John Greenlees as part of the "Dualities in Topology and Algebra" program. Delve into advanced concepts connecting algebraic topology, commutative algebra, and modular representation theory of finite groups. Examine duality phenomena and classification problems in tensor-triangulated categories. Discover how Gorenstein duality generalizes classical Poincaré duality for manifolds in the context of algebraic topology. Learn about the interplay between commutative algebra, algebraic geometry, and stable homotopy theory. Gain insights into thick and localising subcategories of triangulated categories, Balmer spectra, and cohomological support varieties. This 1-hour 21-minute lecture, organized by the International Centre for Theoretical Sciences, is suitable for those with a background in algebraic topology, commutative algebra, and homological algebra.
