Gorenstein Duality in Topology - Lecture 3

Explore Gorenstein duality in topology through the third lecture of a series delivered by John Greenlees. Delve into advanced concepts in algebraic topology, examining the connections between commutative algebra, modular representation theory, and stable homotopy theory. Gain insights into duality phenomena and classification problems in tensor-triangulated categories. Investigate how Grothendieck duality theory and Gorenstein rings concepts from algebraic geometry apply to stable homotopy categories, generalizing classical Poincaré duality for manifolds. Learn about thick and localising subcategories of triangulated categories, Balmer spectra computation, and cohomological support varieties. Enhance your understanding of the interplay between algebra, geometry, and topology in this comprehensive lecture from the "Dualities in Topology and Algebra" program at the International Centre for Theoretical Sciences.