Computational Homological Algebra (Schedule)

Alexandre Grothendieck
Snake Lemma
Jean-Louis Verdier
Date Topic/Video Read Due
2022.09.06 Complexes; Kernels and cokernels
2022.09.08 Fibred products; Exactness Email
2022.09.13 Snake Lemma
2022.09.15 Homology Problems1
2022.09.20 Topological sources of complexes
2022.09.22 Algebraic sources of complexes
2022.09.27 Homotopies
2022.09.29 Mapping cones and cylinders Problems2
2022.10.04 Homomorphisms
2022.10.06 Tensor products
2022.10.11 Fall break
2022.10.13 Fall break
2022.10.18 Semi-free resolutions
2022.10.20 Semi-projective resolutions Problems3
2022.10.25 Homotopy equivalences
2022.10.27 Derived categories
2022.11.01 Triangulated categories
2022.11.03 Derived functors Problems4
2022.11.08 Left derived tensors
2022.11.10 Künneth formula Outline
2022.11.15 Right derived homomorphisms
2022.11.17 Extensions Problems5
2022.11.22 Projective dimension
2022.11.24 Global dimension Draft
2020.11.29 Linear complexes
2020.12.01 Berstein-Gelfand-Gelfand correspondence
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2022.12.15 Project