Duality and Stratification in Commutative Algebra - Lecture 3

Delve into the third lecture of the series on Duality and Stratification in Commutative Algebra, presented by Srikanth B. Iyengar at the International Centre for Theoretical Sciences. Explore advanced concepts in algebraic topology, commutative algebra, and modular representation theory of finite groups during this 1 hour and 31 minute session. Gain insights into duality phenomena and classification problems in tensor-triangulated categories, examining the connections between derived categories of commutative rings, stable categories of finite groups, and stable homotopy categories in topology. Investigate Grothendieck duality theory, Gorenstein rings and schemes, and their applications to generalizations of Poincaré duality for manifolds. Discover the classification of thick and localising subcategories of triangulated categories, Balmer spectra computations, and cohomological support varieties. Enhance your understanding of these advanced mathematical concepts as part of a comprehensive two-week workshop featuring expert lectures, background sessions, and discussions.