Frobenius Distributions
Lang-Trotter and Sato-Tate Conjectures
Published on 30. May 2016
Book
Paperback/Softback
238 pages
978-1-4704-1947-9 (ISBN)
Description
This volume contains the proceedings of the Winter School and Workshop on Frobenius Distributions on Curves, held from February 17-21, 2014 and February 24-28, 2014, at the Centre International de Rencontres Mathematiques, Marseille, France.
This volume gives a representative sample of current research and developments in the rapidly developing areas of Frobenius distributions. This is mostly driven by two famous conjectures: the Sato-Tate conjecture, which has been recently proved for elliptic curves by L. Clozel, M. Harris and R. Taylor, and the Lang-Trotter conjecture, which is still widely open. Investigations in this area are based on a fine mix of algebraic, analytic and computational techniques, and the papers contained in this volume give a balanced picture of these approaches.
This volume gives a representative sample of current research and developments in the rapidly developing areas of Frobenius distributions. This is mostly driven by two famous conjectures: the Sato-Tate conjecture, which has been recently proved for elliptic curves by L. Clozel, M. Harris and R. Taylor, and the Lang-Trotter conjecture, which is still widely open. Investigations in this area are based on a fine mix of algebraic, analytic and computational techniques, and the papers contained in this volume give a balanced picture of these approaches.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
365 gr
ISBN-13
978-1-4704-1947-9 (9781470419479)
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
David Kohel, Aix Marseille Universite, France.
Igor Shparlinski, University of New South Wales, Sydney, Australia.
Igor Shparlinski, University of New South Wales, Sydney, Australia.
Content
Lettre a Armand Borel by J-P. Serre
Motivic Serre group, algebraic Sato-Tate group and Sato-Tate conjecture by G. Banaszak and K. S. Kedlaya
An application of the effective Sato-Tate conjecture by A. Bucur and K. S. Kedlaya
Sato-Tate groups of some weight 3 motives by F. Fite, K. S. Kedlaya, and A. V. Sutherland
Sato-Tate groups of $y^2=x^8+c$ and $y^2=x^7-cx$ by F. Fite and A. V. Sutherland
Computing Hasse-Witt matrices of hyperelliptic curves in average polynomial time, II by D. Harvey and A. V. Sutherland
Quickly constructing curves of genus 4 with many points by E. W. Howe
Variants of the Sato-Tate and Lang-Trotter conjectures by K. James
On the distribution of the trace in the unitary symplectic group and the distribution of Frobenius by G. Lachaud
Lower-order biases in elliptic curve Fourier coefficients in families by B. Mackall, S. J. Miller, c. Rapti, and K. Winsor
Motivic Serre group, algebraic Sato-Tate group and Sato-Tate conjecture by G. Banaszak and K. S. Kedlaya
An application of the effective Sato-Tate conjecture by A. Bucur and K. S. Kedlaya
Sato-Tate groups of some weight 3 motives by F. Fite, K. S. Kedlaya, and A. V. Sutherland
Sato-Tate groups of $y^2=x^8+c$ and $y^2=x^7-cx$ by F. Fite and A. V. Sutherland
Computing Hasse-Witt matrices of hyperelliptic curves in average polynomial time, II by D. Harvey and A. V. Sutherland
Quickly constructing curves of genus 4 with many points by E. W. Howe
Variants of the Sato-Tate and Lang-Trotter conjectures by K. James
On the distribution of the trace in the unitary symplectic group and the distribution of Frobenius by G. Lachaud
Lower-order biases in elliptic curve Fourier coefficients in families by B. Mackall, S. J. Miller, c. Rapti, and K. Winsor