Second part of Foundational PG level course in algebra, suitable for M.Sc and first year PhD students in Mathematics.INTENDED AUDIENCE :NonePREREQUISITES : Algebra I (highly recommended)INDUSTRIES SUPPORT :None
Overview
Syllabus
Week 1:Fields, equations, extensionsWeek 2:Ruler and compass constructions,Week 3:Finite FieldsWeek 4:Galois Theory - 1
Week 5:Galois Theory - 2Week 6:Categories, functors, natural transformations - 1Week 7:Categories, functors, natural transformations - 2Week 8:Tensor products of modules
Week 9:Jordan-Holder theoremWeek 10:Krull-Schmidt theoremWeek 11:Semisimple rings, Artin-Wedderburn theoremWeek 12:Multilinear Algebra
Week 5:Galois Theory - 2Week 6:Categories, functors, natural transformations - 1Week 7:Categories, functors, natural transformations - 2Week 8:Tensor products of modules
Week 9:Jordan-Holder theoremWeek 10:Krull-Schmidt theoremWeek 11:Semisimple rings, Artin-Wedderburn theoremWeek 12:Multilinear Algebra
Taught by
Prof. Amritanshu Prasad, Prof. S. Viswanath
