Argos seminar on intersections of modular correspondences.
Contributors: Société mathématique de France.
Series: Astérisque -- 312.
Publisher: Société mathématique de France
Published: 2007
Place of publication: Paris
Language: eng
Number of pages: 210
ISBN-13: 9782856292310
Subjects: Modular functions.; Endomorphisms (Group theory); Forms, Quadratic.
Description: This volume contains the written account of the Bonn Seminar on Arithmetic Geometry 2003/2004. It gives a coherent exposition of the theory of intersections of modular correspondences. The focus of the seminar is the formula for the intersection number of arithmetic modular correspondences due to Gross and Keating. Other topics treated are Hurwitz's theorem on the intersection of modular correspondences over the field of complex numbers and the relation of the arithmetic intersection numbers to Fourier coefficients of Siegel-Eisenstein series.
Notes: "This volume contains the written account of the Bonn semiar on arithmetic geometry 2004/2004"-- p. [iii].

Includes bibliographical references and index.

Summaries in French.
Table of contents: title: Modular polynomials / by Gunther Vogel; title: A sum of representation numbers / by Ulrich Görtz; title: Arithmetic intersection numbers / by Ulrich Görtz; title: The genius of endomorphisms of a supersingular elliptic curve / by Torsten Wedhorn; title: Lubi-Tate formal groups / by Volker Meusers; title: Formal moduli of formal O[subscript k]- modules / by Eva Viehmann and Konstantin Ziegler; title: Canonical and quasi-canonical liftings / by Stefan Wewers; title: Canonical and quasi-canonical liftings in the split case / by Volker Meusers; title: Lifting endomorphisms of formal O[subscript k]-modules / by Eva Viehmann; title: Endomorphisms of quasi-canonical lifts / by Inken Vollaard; title: Invariants of ternary quadratic forms / by Irene I. Bouw; title: Deformations of isogenies of formal groups / by Michael Rapoport; title: An alternative approach using ideal bases / by Stefan Wewers; title: Calculation of representation densities / by Torsten Wedhorn; title: The connection to Eisenstein series / by Michael Rapoport and Torsten Wedhorn.