Resources | Number Theory II: Class Field Theory | Mathematics | MIT OpenCourseWare

Course Info

Instructor

Dr. Sam Raskin

Departments

Mathematics

As Taught In

Spring 2016

Level

Graduate

Topics

Mathematics

Algebra and Number Theory

Topology and Geometry

Learning Resource Types

Lecture Notes

Problem Sets

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Assignments

Problem Set 1

Problem Set 1 Solutions

Problem Set 2

Problem Set 2 Solutions

Problem Set 3

Problem Set 4

Problem Set 5

Problem Set 6

Problem Set 7

Lecture Notes

Artin and Brauer Reciprocity, Part I

Artin and Brauer Reciprocity, Part II

Brauer Groups

Chain Complexes and Herbrand Quotients

Derived Functors and Explicit Projective Resolutions

Exact Sequences and Tate Cohomology

GCFT and Quadratic Reciprocity

Hilbert Symbols

Homotopy Coinvariants, Abelianization, and Tate Cohomology

Homotopy, Quasi-Isomorphism, and Coinvariants

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