Number Theory Informed by Computation - Couverture rigide

Couverture rigide

ISBN 10 : 1470461242 ISBN 13 : 9781470461249

Editeur : American Mathematical Society, 2026

Synopsis

This book is a collection of lecture notes from the Graduate Summer School ""Number Theory Informed by Computation"" held at the IAS/Park City Mathematics Institute 2022. The lectures address topics at the interface between number theory and computation, both terms interpreted broadly. Included are lectures on polynomial-time algorithms for problems in algebraic number theory, algorithms for counting points on mod $p$ reduction of a variety working with many values of $p$ simultaneously, arithmetic statistics, the theory of lattices, Brauer-Manin obstruction, the theory of rigid cocycles, and the inverse Galois problem. The volume starts with the notes of Hendrik Lenstra’s public lecture, aimed at a general audience, where the speaker explains how modern abstract algebra can be used to explain concrete properties of integers. This volume is aimed at students with a background in graduate level number theory. For some expositions, undergraduate abstract algebra may be sufficient, while others might require basic algebraic geometry.

A propos du livre

À propos de l'auteur

Jennifer S. Balakrishnan, Boston University, MA, Bjorn Poonen, Massachusetts Institute of Technology, Cambridge, MA

Akshay Venkatesh, Institute for Advanced Study, Princeton, NJ

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2026
• Langue: anglais
• ISBN 10: 1470461242
• ISBN 13: 9781470461249
• Reliure: Relié
• Nombre de pages: 325
• Éditeur: Balakrishnan Jennifer S., Poonen Bjorn, Venkatesh Akshay
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible