Vector Bundles on Curves — New Directions [electronic resource] : 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 / by Shrawan Kumar, Gérard Laumon, Ulrich Stuhler ; edited by M. S. Narasimhan.

By: Kumar, Shrawan [author.]Contributor(s): Laumon, Gérard [author.] | Stuhler, Ulrich [author.] | Narasimhan, M. S [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 1649Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1997Description: VI, 198 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540497011Subject(s): Mathematics | Geometry, algebraic | Number theory | Mathematics | Algebraic Geometry | Number TheoryAdditional physical formats: Printed edition:: No titleDDC classification: 516.35 LOC classification: QA564-609Online resources: Click here to access online
Contents:
Infinite grassmannians and moduli spaces of G-bundles -- Drinfeld shtukas -- Drinfeld modules and elliptic sheaves.
In: Springer eBooksSummary: 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.
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Infinite grassmannians and moduli spaces of G-bundles -- Drinfeld shtukas -- Drinfeld modules and elliptic sheaves.

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.

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