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
1997
ISBN: 978-3-540-62401-1
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 198 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 318 g

Reihe: C.I.M.E. Foundation Subseries

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.

Zielgruppe

Research

Autoren/Hrsg.

Kumar, Shrawan

Stuhler, Ulrich

Laumon, Gérard

Narasimhan, M.S.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder

Inhaltsverzeichnis

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