Homological Algebra: Exact Sequences

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

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

Explores the long exact sequence of Ext-modules and their computations in homological algebra.

Explores divisibility and torsion in group theory, focusing on defining a functor that preserves divisibility.

Explores homotopical algebra examples and adjunctions, focusing on left and right adjoints in group functors and coproducts.

Covers adjunctions and functor categories, emphasizing their significance in category theory and applications in deep learning.

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

Explores derived functors, Ext-modules, Yoneda extensions, and derived categories in the context of extending modules.

Covers the transfer of model structures through adjunctions in the context of model categories.