Title: Arithmetic, Geometry, Cryptography and Coding Theory
Description: This volume contains the proceedings of the 17th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T-17), held from June 10-14, 2019, at the Centre International de Rencontres Math©♭matiques in Marseille, France. The conference was dedicated to the memory of Gilles Lachaud, one of the founding fathers of the AGC2T series. Since the first meeting in 1987 the biennial AGC2T meetings have brought together the leading experts on arithmetic and algebraic geometry, and the connections to coding theory, cryptography, and algorithmic complexity. This volume highlights important new developments in the field.
Subjects: Mathematics, Coding theory, Congresses, Algebraic Geometry, Cryptography, Number theory, Number theory -- Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] -- Abelian varieties of dimension $> 1$ [See also 14Kxx], Number theory -- Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] -- Curves over finite and local fields [See also 14H25], Number theory -- Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] -- Varieties over finite and local fields [See also 14G15, 14G20], Number theory -- Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx] -- Curves of arbitrary genus or genus $\ne 1$ over global fields [See also 14H25], Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Algebraic coding theory; cryptography, Algebraic geometry -- Curves -- Special curves and curves of low genus, Algebraic geometry -- Abelian varieties and schemes -- Arithmetic ground fields [See also 11Dxx, 11Fxx, 11G10, 14Gxx], Group theory and generalizations -- Representation theory of groups [See also 19A22 (for representation rings and Burnside rings)] -- Representations of finite groups of Lie type, Geometry {For algebraic geometry, see 14-XX} -- Finite geometry and special incidence structures -- Combinatorial structures in finite projective spaces [See also 05Bxx], Information and communication, circuits -- Theory of error-correcting codes and error-detecting codes -- Geometric methods (including applications of algebraic geometry) [See also 11T71, 14G50]