Cohomology: Cup Product

Related lectures (32)

Page 3 of 4

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

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

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Explores embeddings of number fields, types, signatures, lattices, and determinants.

Covers the properties of finite dimensional algebras and non-semisimple representations.

Explores algebraic cycles, etale cohomology, and counterexamples to the Hodge conjecture.

Covers linear representations, isomorphism, G modules, and classification of representations of C star and C plus.

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

Explores subgroups, normal subgroups, cosets, and Lagrange's theorem in group theory, emphasizing the importance of left cosets.