Paperback. 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. Presents 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

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Bibliographic Details

Title: Arithmetic Geometry (Paperback)
Publisher: American Mathematical Society, Providence
Publication Date: 2019
Language: English
ISBN 10: 1470442124
ISBN 13: 9781470442125
Binding: Paperback
Condition: new

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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)

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