18.785 Number Theory I, Fall 2019
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 the...
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| Language: | en-US |
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2023
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| Online Access: | https://hdl.handle.net/1721.1/150787 |
| _version_ | 1811075154988498944 |
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| author | Sutherland, Andrew |
| author_facet | Sutherland, Andrew |
| author_sort | Sutherland, Andrew |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T10:01:42Z |
| id | mit-1721.1/150787 |
| institution | Massachusetts Institute of Technology |
| language | en-US |
| last_indexed | 2024-09-23T10:01:42Z |
| publishDate | 2023 |
| record_format | dspace |
| spelling | mit-1721.1/1507872023-05-23T03:42:31Z 18.785 Number Theory I, Fall 2019 Number Theory I Sutherland, Andrew 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 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. 2023-05-22T13:52:37Z 2023-05-22T13:52:37Z 2019-12 2023-05-22T13:52:45Z 18.785-Fall2019 18.785 IMSCP-MD5-269948246a11acbe01991cb92012a7a2 https://hdl.handle.net/1721.1/150787 en-US This site (c) Massachusetts Institute of Technology 2023. Content within individual courses is (c) by the individual authors unless otherwise noted. The Massachusetts Institute of Technology is providing this Work (as defined below) under the terms of this Creative Commons public license ("CCPL" or "license") unless otherwise noted. The Work is protected by copyright and/or other applicable law. Any use of the work other than as authorized under this license is prohibited. By exercising any of the rights to the Work provided here, You (as defined below) accept and agree to be bound by the terms of this license. The Licensor, the Massachusetts Institute of Technology, grants You the rights contained here in consideration of Your acceptance of such terms and conditions. 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| spellingShingle | 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 Sutherland, Andrew 18.785 Number Theory I, Fall 2019 |
| title | 18.785 Number Theory I, Fall 2019 |
| title_full | 18.785 Number Theory I, Fall 2019 |
| title_fullStr | 18.785 Number Theory I, Fall 2019 |
| title_full_unstemmed | 18.785 Number Theory I, Fall 2019 |
| title_short | 18.785 Number Theory I, Fall 2019 |
| title_sort | 18 785 number theory i fall 2019 |
| topic | 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 |
| url | https://hdl.handle.net/1721.1/150787 |
| work_keys_str_mv | AT sutherlandandrew 18785numbertheoryifall2019 AT sutherlandandrew numbertheoryi |