Analytic Methods in Arithmetic Geometry (Paperback)

Lingua: inglese

Editore: American Mathematical Society, Providence, 2020

1470437848 / 9781470437848

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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.…

Codice articolo 9781470437848

Titolo
Analytic Methods in Arithmetic Geometry (Paperback)
Autore
Alina Bucur
Editore
American Mathematical Society, Providence
Anno di pubblicazione
2020
Condizione
new
Rilegatura
Paperback
Lingua
inglese
ISBN 10
1470437848
ISBN 13
9781470437848

Grand Eagle Retail

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