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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Contains the proceedings of the Winter School and Workshop on Frobenius Distributions on Curves, held in February 2014. 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 and the Lang-Trotter conjecture.
Les mer
Lettre a Armand Borel by J-P. SerreMotivic Serre group, algebraic Sato-Tate group and Sato-Tate conjecture by G. Banaszak and K. S. KedlayaAn application of the effective Sato-Tate conjecture by A. Bucur and K. S. KedlayaSato-Tate groups of some weight 3 motives by F. Fite, K. S. Kedlaya, and A. V. SutherlandSato-Tate groups of $y^2=x^8+c$ and $y^2=x^7-cx$ by F. Fite and A. V. SutherlandComputing Hasse-Witt matrices of hyperelliptic curves in average polynomial time, II by D. Harvey and A. V. SutherlandQuickly constructing curves of genus 4 with many points by E. W. HoweVariants of the Sato-Tate and Lang-Trotter conjectures by K. JamesOn the distribution of the trace in the unitary symplectic group and the distribution of Frobenius by G. LachaudLower-order biases in elliptic curve Fourier coefficients in families by B. Mackall, S. J. Miller, c. Rapti, and K. Winsor
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Produktdetaljer

ISBN
9781470419479
Publisert
2016-05-30
Utgiver
Vendor
American Mathematical Society
Vekt
365 gr
Høyde
254 mm
Bredde
178 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
238

Om bidragsyterne

David Kohel, Aix Marseille Universite, France.

Igor Shparlinski, University of New South Wales, Sydney, Australia.