Arithmetic Geometry

Christophe Ritzenthaler

ISBN 10: 1470442124 / ISBN 13: 9781470442125

Published by American Mathematical Society, US, 2019

About this Item

For thirty years, the biennial international conference AGC$^2$T (Arithmetic, Geometry, Cryptography, and Coding Theory) has brought researchers to Marseille to build connections between arithmetic geometry and its applications, originally highlighting coding theory but more recently including cryptography and other areas as well.This volume contains the proceedings of the 16th international conference, held from June 19-23, 2017.The papers are original research articles covering a large range of topics, including weight enumerators for codes, function field analogs of the Brauer-Siegel theorem, the computation of cohomological invariants of curves, the trace distributions of algebraic groups, and applications of the computation of zeta functions of curves. Despite the varied topics, the papers share a common thread: the beautiful interplay between abstract theory and explicit results.

Seller Inventory # LU-9781470442125

Bibliographic Details

• Title: Arithmetic Geometry
• Publisher: American Mathematical Society, US
• Publication Date: 2019
• Language: English
• ISBN 10: 1470442124
• ISBN 13: 9781470442125
• Binding: Paperback
• Condition: New
• Weight: 275 grams

About this title

Synopsis

Ten talks delivered at the June 2017 conference held in Marseille, France explore algebraic number theory, Diophantine geometry, curves and abelian varieties over finite fields, and applications in codes and cryptography. The contributors use zeta functions to factor polynomials over finite fields, determine the canonical models of arithmetic curves, obtain an expression for the probability density function of the distribution of the trace function on Lie group G, and compute the weight enumerators of Reed-Muller codes. Annotation ©2019 Ringgold, Inc., Portland, OR (protoview.com)