Analytic Methods in Arithmetic Geometry: Arizona Winter School 2016 Analytic Methods in Arithmetic Geometry March 12-16, 2016 the University of Arizona, Tucson, Az (Contemporary Mathematics, 740) - Softcover
Synopsis
The volume collects notes from the lectures presented during the March 2016 Arizona Winter School on analytic methods in arithmetic geometry. The four lectures survey results about rational primes viewed in the context of elliptic curves, introduce growth and expansion in algebraic groups of Lie type over finite fields, describe how the systematic use of deep methods from l-adic cohomology has advanced analytic number theory, and explore the relationship between Galois representations, Mumford-Tate groups, and Sato-Tate distributions. Annotation ©2020 Ringgold, Inc., Portland, OR (protoview.com)
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Analytic Methods in Arithmetic Geometry (eng)
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Analytic Methods in Arithmetic Geometry: Arizona Winter School 2016 Analytic Methods in Arithmetic Geometry March 12-16, 2016 the University of Arizona, Tucson, Az
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Analytic Methods in Arithmetic Geometry : Arizona Winter School 2016 Analytic Methods in Arithmetic Geometry March 12-16, 2016 the University of Arizona, Tucson, Az
Published by
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ISBN 10: 1470437848
ISBN 13: 9781470437848
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Analytic Methods in Arithmetic Geometry
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Paperback. Condition: New. This volume contains the proceedings of the Arizona Winter School 2016, which was held from March 12-16, 2016, at The University of Arizona, Tucson, AZ. In the last decade or so, analytic methods have had great success in answering questions in arithmetic geometry and number theory. The School provided a unique opportunity to introduce graduate students to analytic methods in arithmetic geometry. The book contains four articles. Alina C. Cojocaru's article introduces sieving techniques to study the group structure of points of the reduction of an elliptic curve modulo a rational prime via its division fields. Harald A. Helfgott's article provides an introduction to the study of growth in groups of Lie type, with $\mathrm{SL}_2(\mathbb{F}_q)$ and some of its subgroups as the key examples. The article by Etienne Fouvry, Emmanuel Kowalski, Philippe Michel, and Will Sawin describes how a systematic use of the deep methods from $\ell$-adic cohomology pioneered by Grothendieck and Deligne and further developed by Katz and Laumon help make progress on various classical questions from analytic number theory. The last article, by Andrew V. Sutherland, introduces Sato-Tate groups and explores their relationship with Galois representations, motivic $L$-functions, and Mumford-Tate groups. Seller Inventory # LU-9781470437848
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Analytic Methods in Arithmetic Geometry: Arizona Winter School 2016 Analytic Methods in Arithmetic Geometry March 12-16, 2016 the University of Arizona, Tucson, Az
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Analytic Methods in Arithmetic Geometry : Arizona Winter School 2016 Analytic Methods in Arithmetic Geometry March 12-16, 2016 the University of Arizona, Tucson, Az
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Analytic Methods in Arithmetic Geometry : Arizona Winter School 2016 Analytic Methods in Arithmetic Geometry March 12-16, 2016 the University of Arizona, Tucson, Az
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Analytic Methods in Arithmetic Geometry: Arizona Winter School 2016 Analytic Methods in Arithmetic Geometry March 12-16, 2016 the University of Arizona, Tucson, Az
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American Mathematical Society, 2019
ISBN 10: 1470437848
ISBN 13: 9781470437848
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Analytic Methods in Arithmetic Geometry (Paperback)
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Paperback. Condition: new. Paperback. This volume contains the proceedings of the Arizona Winter School 2016, which was held from March 12-16, 2016, at The University of Arizona, Tucson, AZ. In the last decade or so, analytic methods have had great success in answering questions in arithmetic geometry and number theory. The School provided a unique opportunity to introduce graduate students to analytic methods in arithmetic geometry. The book contains four articles. Alina C. Cojocaru's article introduces sieving techniques to study the group structure of points of the reduction of an elliptic curve modulo a rational prime via its division fields. Harald A. Helfgott's article provides an introduction to the study of growth in groups of Lie type, with $\mathrm{SL}_2(\mathbb{F}_q)$ and some of its subgroups as the key examples. The article by Etienne Fouvry, Emmanuel Kowalski, Philippe Michel, and Will Sawin describes how a systematic use of the deep methods from $\ell$-adic cohomology pioneered by Grothendieck and Deligne and further developed by Katz and Laumon help make progress on various classical questions from analytic number theory. The last article, by Andrew V. Sutherland, introduces Sato-Tate groups and explores their relationship with Galois representations, motivic $L$-functions, and Mumford-Tate groups. Contains the proceedings of the Arizona Winter School 2016, held in March 2016 at The University of Arizona. The School provided a unique opportunity to introduce graduate students to analytic methods in arithmetic geometry. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781470437848