alexa Homological and Homotopical Algebra (L16)

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Homological and Homotopical Algebra (L16)

course is an introduction to homological and homotopical algebra, which are ubiquitous in modern algebra, algebraic topology, geometry and number theory. The aim is to learn to use these methods in whichever eld you are working in. We start with a look at chain complexes and homology, the derived category and derived functors. Early examples are Ext, Tor and group cohomology. Next we learn one of the most important computational tools, spectral sequences, and work through some applications

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