Heegner Points and Rankin L-Series

Heegner Points and Rankin L-Series

by Henri Darmon
     
 

ISBN-10: 0521158206

ISBN-13: 9780521158206

Pub. Date: 07/15/2010

Publisher: Cambridge University Press

The 12 papers of this proceedings were first presented at a conference held at the Mathematical Sciences Research Institute in Berkeley, Calif., in December 2001. Bryan Birch and Benedict Gross authored the first two chapters, which describe the beginnings of Heegner Points. They then present their correspondence with each other leading up to the Gross-Zagier formula.…  See more details below

Overview

The 12 papers of this proceedings were first presented at a conference held at the Mathematical Sciences Research Institute in Berkeley, Calif., in December 2001. Bryan Birch and Benedict Gross authored the first two chapters, which describe the beginnings of Heegner Points. They then present their correspondence with each other leading up to the Gross-Zagier formula. The balance of the proceedings assesses the trends in the field with attention to analytic applications, extensions to totally real fields, Iwasawa theory, higher dimensional analogues, function field analogues, and conjectural variants. Darmon is with McGill U., Canada; Zhang is at Columbia U., New York. Not indexed. Annotation © 2006 Book News, Inc., Portland, OR

Product Details

ISBN-13:
9780521158206
Publisher:
Cambridge University Press
Publication date:
07/15/2010
Series:
Mathematical Sciences Research Institute Publications Series, #49
Pages:
382
Product dimensions:
6.10(w) x 9.10(h) x 1.00(d)

Table of Contents

Preface
Heegner points : the beginnings1
Correspondence11
The Gauss class number problem for imaginary quadratic fields25
Heegner points and representation theory37
Gross-Zagier revisited
Appendix67
Special value formulae for Rankin L-functions165
Gross-Zagier formula for GL(2), II191
Special cycles and derivatives of Eisenstein series243
Faltings' height and the derivatives of Eisenstein series271
Elliptic curves and analogies between number fields and function fields285
Heegner points and elliptic curves of large rank over function fields317
Periods and points attached to quadratic algebras323

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