Quillen Stratification Theorems - Lecture 4

Explore the Quillen Stratification Theorem(s) in this fourth lecture of a series delivered by Natalia Castellana. Delve into advanced concepts in algebraic topology, commutative algebra, and modular representation theory of finite groups as part of the "Dualities in Topology and Algebra" program. Gain insights into the classification of thick and localising subcategories of triangulated categories, and learn about the connections between commutative algebra, algebraic geometry, and stable homotopy theory. Examine how ideas from Grothendieck duality theory and Gorenstein rings apply to algebraic topology, extending classical Poincaré duality for manifolds. Enhance your understanding of cohomological support varieties and their applications in modular representation theory.