Sheaves and Modules

Related lectures (32)

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

Covers the cohomology of quasi-coherent sheaves on affine schemes.

Covers the concept of sheaves, emphasizing the unique determination of functions by local data and the importance of direct limits.

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

Covers the derived functor approach to Čech cohomology, emphasizing the relationship between derived functors and sheaf theory.

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

Explores chain conditions in module theory, emphasizing Noetherian modules and stabilizing sequences of submodules.

Covers free resolution of modules and projective modules in module theory.

Covers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.