Étale cohomology

Related lectures (28)

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Introduces cohomology, focusing on abelian cochains and their correspondence with singular cochains.

Covers the cup product in the cohomology of C2, showing how non-trivial elements are represented by cocycles.

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

Explores isogeny graphs of supersingular elliptic curves, showing optimal mixing times for random walks and applications to cryptography.

Covers the cup product in cohomology, focusing on examples and computations.

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

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

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

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

Explores the associative and commutative properties of the cup product in cohomology, with a focus on graded structures.