Derived Functor Approach

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Related lectures (32)

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Derived functors: Identity and Homotopy Categories

Explores derived functors in model categories, focusing on identity and homotopy categories.

Sheaves: Hartshorne I.1

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

Cohomology: Abelian Cochains

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

Topology Seminar: Tower Sequences and Homomorphisms

Explores tower sequences, homomorphisms, and their applications in topology, including the computation of homology and the construction of telescopes.

Cohomology: Cup Product

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

Quantum Field Theory: BRST Symmetry

Covers the BRST symmetry in Quantum Field Theory, focusing on physical states and norm preservation.

The Topological Künneth Theorem

Explores the topological Künneth Theorem, emphasizing commutativity and homotopy equivalence in chain complexes.

Ample Invertible Sheaves

Introduces ample invertible sheaves and their properties in algebraic geometry.

Derived Functors

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

Sheafification of Presheaves

Covers the sheafification process of presheaves, emphasizing injectivity and surjectivity.