Derived Functors

Related lectures (32)

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Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

Covers homomorphisms, projective modules, and resolutions in chain complexes.

Covers the Algebraic Kunneth Theorem, explaining chain complexes and cohomology computations.

Covers cohomology, injective resolutions, and acyclic objects in an abelian category.

Explores derived functors in model categories, focusing on identity and homotopy categories.

Covers the construction of long exact sequences of Ext-modules and provides illustrative examples.

Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.

Explores the homotopy theory of chain complexes, focusing on retractions and model category structures.

Covers categories, functors, and presheaf categories, exploring the relationships between objects and morphisms.

Covers exact sequences in homological algebra and the properties of Hom functors.