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.
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Höhe: 254 mm
Breite: 178 mm
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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 Klassifikation
David Kohel, Aix Marseille Universite, France.
Igor Shparlinski, University of New South Wales, Sydney, Australia.
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
