Arithmetic, geometry, cryptography and coding theory 2021 : 18th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, May 31-June 4, 2021, Centre International de Rencontres Mathématiques, Marseille, France / Samuele Anni, Valentijn Karemaker, Elisa Lorenzo García, editors.

Format:

Book

Conference/Event

Contributor:

Anni, Samuele, 1985- editor.

Karemaker, Valentijn, 1990- editor.

Lorenzo García, Elisa, 1987- editor.

Centre national de rencontres mathématiques (France), host institution.

Conference Name:

International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (18th : 2021 : Marseille, France), author.

Series:

Contemporary mathematicians.

Contemporary Mathematics ; v.779

Language:

English

Subjects (All):

Coding theory--Congresses.

Coding theory.

Geometry, Algebraic--Congresses.

Geometry, Algebraic.

Number theory--Congresses.

Number theory.

Physical Description:

1 online resource (198 pages)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2022.

Summary:

This volume contains the proceedings of the 18th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory, held (online) from May 31 to June 4, 2021.For over thirty years, the biennial international conference AGC^2T (Arithmetic, Geometry, Cryptography, and Coding Theory) has brought researchers together to forge connections between arithmetic geometry and its applications to coding theory and to cryptography.The papers illustrate the fruitful interaction between abstract theory and explicit computations, covering a large range of topics, including Belyi maps, Galois representations attached to elliptic curves, reconstruction of curves from their Jacobians, isogeny graphs of abelian varieties, hypergeometric equations, and Drinfeld modules.

Contents:

Numerical reconstruction of curves from their Jacobians / Daniele Agostini, Turkü Ozlüm Çelik, and Demir Eken

A strategy to optimize the complexity of Chudnovsky-type algorithms over the projective line / Stéphane Ballet, Alexis Bonnecaze, and Bastien Pacifico

On the constant D(q) defined by Homma / Peter Beelen, Maria Montanucci, and Lara Vicino

How big is the image of the Galois representations attached to CM elliptic curves? / Francesco Campagna and Riccardo Pengo

Multiradical isogenies / Wouter Castryck and Thomas Decru

Arithmetic monodromy groups of dynamical Belyi maps / Özlem Ejder

Automorphisms and isogeny graphs of abelian varieties, with applications to the superspecial Richelot isogeny graph / Enric Florit and Benjamin Smith

Frobenius structures on hypergeometric equations / Kiran Kedlaya

The regulator dominates the rank / Fabien Pazuki

Introducton to Drinfeld modules / Bjorn Poonen.

Notes:

Includes bibliographical references.

Description based on publisher supplied metadata and other sources.

Description based upon print version of record.

Other Format:

Print version: Anni, Samuele Arithmetic, Geometry, Cryptography, and Coding Theory 2021

ISBN:

9781470470890

1470470896

OCLC:

1330933666