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Explore the intricacies of Morava E-Theory in this advanced lecture from the "Dualities in Topology and Algebra" workshop. Delve into complex mathematical concepts at the intersection of algebraic topology, commutative algebra, and modular representation theory. Gain insights into duality phenomena and classification problems in tensor-triangulated categories. Examine the connections between derived categories of commutative rings, stable categories of finite groups, and the stable homotopy category in topology. Investigate Grothendieck duality theory, Gorenstein rings and schemes, and their applications to algebraic topology. Discover how developments in abstract homotopy theory and modular representation theory have influenced algebra and geometry. Engage with cutting-edge research on thick and localising subcategories of triangulated categories and cohomological support varieties.
