Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Derived FunctorsExplores derived functors, Ext-modules, Yoneda extensions, and derived categories in the context of extending modules.
Derived Functor ApproachCovers the derived functor approach to Čech cohomology, emphasizing the relationship between derived functors and sheaf theory.
Active Learning SessionExplores the verification of a Lie functor as a left adjoint, with natural transformations satisfying triangular identities and isomorphisms.
Torsion and DivisibilityExplores torsion and divisibility in abelian groups, including p-divisible groups and their contrast with torsion elements.