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
著者
書誌事項
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
(Contemporary mathematics, 663)
American Mathematical Society, c2016
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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
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