Vector Bundles on Curves — New Directions

Kumar, Shrawan.

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 / [electronic resource] : by Shrawan Kumar, Gérard Laumon, Ulrich Stuhler ; edited by M. S. Narasimhan. - VI, 198 p. online resource. - C.I.M.E. Foundation Subseries ; 1649 . - C.I.M.E. Foundation Subseries ; 1649 .

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.

9783540497011

10.1007/BFb0094423 doi


Geometry, algebraic.
Number theory.
Algebraic Geometry.
Number Theory.

QA564-609

516.35
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