Frobenius distributions : Lang-Trotter and Sato-Tate conjectures : winter school on Frobenius distributions on curves, February 17-21, 2014, workshop on Frobenius distributions on curves, February 24-28, 2014, Centre international de rencontres mathématiques, Marseille, France

Author(s)

• Kohel, David R.
• Shparlinski, Igor E.

Bibliographic Information

Frobenius distributions : Lang-Trotter and Sato-Tate conjectures : winter school on Frobenius distributions on curves, February 17-21, 2014, workshop on Frobenius distributions on curves, February 24-28, 2014, Centre international de rencontres mathématiques, Marseille, France

David Kohel, Igor Shparlinski, editors

（Contemporary mathematics, 663）

American Mathematical Society, c2016

Note

Includes bibliographical references

Description and Table of Contents

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.

Table of Contents

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

by "Nielsen BookData"

Details

• NCID: BB21141329
• ISBN:
  • 9781470419479
• LCCN: 2015037188
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.
• Pages/Volumes: viii, 238 p.
• Size: 26 cm
• Classification:
  • LCC : QA251.5
  • DC23 : 512.7/4
• Subject Headings:
  • LCSH : Frobenius algebras -- Congresses
  • LCSH : Curves, Algebraic -- Congresses
  • FREE : Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Elliptic curves over global fields. msc
  • FREE : Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Abelian varieties of dimension $> 1$. msc
  • FREE : Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Curves over finite and local fields. msc
  • FREE : Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Varieties over finite and local fields. msc
  • FREE : Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Varieties over global fields. msc
  • FREE : Number theory -- Zeta and $L$-functions: analytic theory -- Relations with random matrices. msc
  • FREE : Number theory -- Multiplicative number theory -- Distribution of primes. msc
  • FREE : Number theory -- Algebraic number theory: global fields -- Distribution of prime ideals. msc
  • FREE : Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Zeta-functions and related questions. msc
  • FREE : Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Global ground fields. msc
• Parent Bibliography ID:
  • BA00009927