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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

  • Book
  • © 1997

Overview

Authors:
  1. Shrawan Kumar
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  2. Gérard Laumon
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  3. Ulrich Stuhler
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Editors:
  1. M. S. Narasimhan
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1649)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (3 chapters)

  1. Front Matter

    Pages I-VI
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  2. Infinite grassmannians and moduli spaces of G-bundles

    • Shrawan Kumar
    Pages 1-49

  3. Drinfeld shtukas

    • G. Laumon
    Pages 50-109

  4. Drinfeld modules and elliptic sheaves

    • A. Blum, U. Stuhler
    Pages 110-188

  5. Back Matter

    Pages 189-195
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Vector Bundles on Curves - New Directions

  • Book Subtitle: 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

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0094423

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • Softcover ISBN: 978-3-540-62401-1Published: 28 January 1997

  • eBook ISBN: 978-3-540-49701-1Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 198

  • Topics: Algebraic Geometry, Number Theory

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