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Full Description
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.
Contents
J. D. Achter and E. W. Howe, Hasse-Witt and Cartier-Manin matrices: A warning and a request
M. Hindry, Analogues of Brauer-Siegel theorem in arithmetic geometry
J. Javanpeykar and J. Voight, The Belyi degree of a curve is computable
N. Kaplan, Weight enumerators of Reed-Muller codes from cubic curves and their duals
G. Lachaud, The distribution of the trace in the compact group of type $G_2$
B. Malmskog, R. Pries, and C. Weir, The de Rham cohomology of the Suzuki curves
F. Pazuki, Decompositions en hauteurs locales
B. Poonen, Using zeta functions to factor polynomials over finite fields
J. Sijsling, Canonical models of arithmetic $(1;\infty)$-curves
A. V. Sutherland and J. F. Voloch, Maps between curves and arithmetic obstructions.
