
Arithmetic Geometry
Computation and Applications
American Mathematical Society (Publisher)
Published on 28. February 2019
Book
Paperback/Softback
175 pages
978-1-4704-4212-5 (ISBN)
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.
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
275 gr
ISBN-13
978-1-4704-4212-5 (9781470442125)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Yves Aubry, Institut de Mathematiques de Toulon - IMATH, La Garde, France, and Institut de Mathematiques de Marseille - I2M, France.
Everett W. Howe, Center for Communications Research, La Jolla, CA.
Christophe Ritzenthaler, Institut de Recherche Mathematiques de Rennes (IRMAR), France.
Everett W. Howe, Center for Communications Research, La Jolla, CA.
Christophe Ritzenthaler, Institut de Recherche Mathematiques de Rennes (IRMAR), France.
Content
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.
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.