18.785 Number Theory I, Fall 2019

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
2019-12
URI
https://hdl.handle.net/1721.1/150787
Other identifiers
18.785-Fall2019
Other identifiers
18.785
IMSCP-MD5-269948246a11acbe01991cb92012a7a2
Keywords
Absolute values, Discrete valuations, localization, Dedekind domains, Etale algebras, Dedekind extensions, Ideal Norm, Dedekind-Kummer Theorem, Galois extensions, Artin map, complete fields, Valuation rings, Hensel's lemmas, Krasner's lemma, Minkowski bound, Dirichlet's unit theorm, Zeta function, Ray Class, Ring of Adeles, Idele group, Chebotarev density theorem, Global fields, Tate cohomology, Artin reciprocity
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