18.785 Number Theory I, Fall 2017

Author(s)
Sutherland, Andrew
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Alternative title
Number Theory I
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Abstract
This is the first semester of a one year graduate course in number theory covering standard topics in algebraic and analytic number theory. At various points in the course, we will make reference to material from other branches of mathematics, including topology, complex analysis, representation theory, and algebraic geometry. 
Date issued
2017-12
URI
https://hdl.handle.net/1721.1/124987
Other identifiers
18.785-Fall2017
Other identifiers
18.785
IMSCP-MD5-91ae5f50bb1485caa22302764542ebf6
Keywords
Absolute values, Discrete valuations, localization, Dedekind domains, Etale algebras, Dedekind extensions, Ideal Norm, Dedekind-Kummer Theorem, Galois extensions, Frobenius, Artin map, complete fields, Valuation rings, Hensel's lemmas, Krasner's lemma, Minkowski bound, Dirichlet, Unit theorem, Riemann, Zeta function, Kronecker, Weber, Ray Class, Ring of Adeles, Idele group, Chebotarev density theorem, Global fields, Tate cohomology, Artin reciprocity
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