Drinfeld Modules, Modular Schemes and Applications

✍ Scribed by E.-U. Gekeler, M. van der Put, M. Reversat, J. Van Geel (Editors)

• Publisher: World Scientific
• Year: 1997
• Tongue: English
• Leaves: 377
• Category: Library

✦ Table of Contents

Preface
Contents
Lectures
Lecture 1 Introduction to Drinfeld Modules
Lecture 2 Moduli schemes of Drinfeld modules
Lecture 3 Analytic theory of Drinfeld modules
Lecture 4 A guide to explicit class field theory in global function fields
Lecture 5 Drinfeld modules over finite fields
Lecture 6 Some rigid geometry
Lecture 7 The structure of Γ and its quotients Γ\Ω
Lecture 8 Analytic compactification and modular forms
Lecture 9 Algebraic compactification and modular interpretation
Lecture 10 A survey of Drinfeld modular form
Lecture 11 Automorphic forms and Drinfeld 's reciprocity law
Lecture 12 Jacquet-Langlands theory over K and relations with elliptic curves
Research Papers
On Hilbert class field towers of global function fields
Drinfeld modular forms of level T
Explicit Reciprocity Law for a Rank One Drinfeld F_q[t]-Module
Groups of elliptic units and torsion points of Drinfeld modules
L-Series of Automorphic Cusp Forms of Drinfeld Type
Hyperelliptic Drinfeld Modular Curves
Local height pairings of Heegner points on Drinfeld curves
List of Participants