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Explore the first lecture in a series on Duality and Stratification in Commutative Algebra, delivered by Srikanth B. Iyengar at the International Centre for Theoretical Sciences. Delve into advanced topics in algebraic topology, commutative algebra, and modular representation theory of finite groups as part of a comprehensive workshop on dualities in topology and algebra. Gain insights into the derived category of commutative rings, Grothendieck duality theory, Gorenstein rings and schemes, and their applications in algebraic topology. Discover the connections between various tensor-triangulated categories and learn about classification problems in these fields. Engage with cutting-edge research that bridges concepts from algebra, geometry, and topology, including thick and localising subcategories of triangulated categories and cohomological support varieties. Suitable for those with a background in algebraic topology, commutative algebra, and homological algebra.
