Analytic Methods in Arithmetic Geometry: Arizona Winter School 2016 Analytic Methods in Arithmetic Geometry March 12-16, 2016 the University of Arizona, Tucson, Az - Couverture souple

 
9781470437848: Analytic Methods in Arithmetic Geometry: Arizona Winter School 2016 Analytic Methods in Arithmetic Geometry March 12-16, 2016 the University of Arizona, Tucson, Az
Couverture souple
ISBN 10 : 1470437848 ISBN 13 : 9781470437848
Editeur : American Mathematical Society, 2020

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Alina Bucur, University of San Diego, La Jolla, CA.

David Zureick-Brown, Emory University, Atlanta, GA

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2020
Langue
anglais
ISBN 10 
1470437848
ISBN 13 
9781470437848
Reliure
Broché
Nombre de pages
248
Éditeur
Bucur Alina, Zureick-Brown David
Coordonnées du fabricant
Buchpark GmbH
https://www.buchpark.de

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