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Lecture
Derived Functor Approach
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Related lectures (32)
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.
Universal Coefficient Theorems
Delves into the universal coefficient theorems in homological algebra, showcasing their practical application in computing homology and cohomology groups.
Curl and Exact Sequences
Covers the concept of curl in vector calculus and De Rham cohomology.
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