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) - Tapa blanda

 
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 (Contemporary Mathematics)
Tapa blanda
ISBN 10: 1470437848 ISBN 13: 9781470437848
Editorial: American Mathematical Society, 2020

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

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

David Zureick-Brown, Emory University, Atlanta, GA

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2020
Idioma
Inglés
ISBN 10 
1470437848
ISBN 13 
9781470437848
Encuadernación
Tapa blanda
Número de páginas
248
Editor
Bucur Alina, Zureick-Brown David
Contacto del fabricante
no disponible
Persona responsable
Buchpark GmbH
gpsr@buchpark.de

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