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 / Edition 1

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 / Edition 1

by Shrawan Kumar, Gerard Laumon, Ulrich Stuhler
     
 

ISBN-10: 3540624015

ISBN-13: 9783540624011

Pub. Date: 03/11/1997

Publisher: Springer Berlin Heidelberg

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

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Overview

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.

Product Details

ISBN-13:
9783540624011
Publisher:
Springer Berlin Heidelberg
Publication date:
03/11/1997
Series:
Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries, #1649
Edition description:
1997
Pages:
198
Product dimensions:
0.43(w) x 6.14(h) x 9.21(d)

Table of Contents

Infinite grassmannians and moduli spaces of G-bundles.- Drinfeld shtukas.- Drinfeld modules and elliptic sheaves.

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