Vector Bundles on Curves — New Directions

Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro (Cosenza), Italy, June 19–27, 1995

  • Authors
  • Shrawan Kumar
  • Gérard Laumon
  • Ulrich Stuhler
  • Editors
  • M. S. Narasimhan

Part of the Lecture Notes in Mathematics book series (LNM, volume 1649)

Table of contents

  1. Front Matter
    Pages I-VI
  2. G. Laumon
    Pages 50-109
  3. A. Blum, U. Stuhler
    Pages 110-188
  4. Back Matter
    Pages 189-195

About this book

Introduction

The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics. It deals with: 1. The relation between conformal blocks and generalised theta functions (Lectures by S. Kumar) 2. Drinfeld Shtukas (Lectures by G. Laumon) 3. Drinfeld modules and Elliptic Sheaves (Lectures by U. Stuhler) The latter topics are useful in connection with Langlands programme for function fields. The contents of the book would give a comprehensive introduction of these topics to graduate students and researchers.

Keywords

Drinfeld module Kac-Mody groups drinfeld shtukas elliptic sheaves moduli of principal bundles on curves

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0094423
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-62401-1
  • Online ISBN 978-3-540-49701-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book