# Argos Seminar on Intersections of Modular Correspondences

Share this page *Edited by *
*Ulrich Görtz; Michael Rapoport*

A publication of the Société Mathématique de France

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.

Also included is background material on one-dimensional formal groups and
their endomorphisms and on quadratic forms over the ring of \(p\)-adic
integers.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

#### Readership

Graduate students and research mathematicians interested in number theory.