Conformal Blocks, Generalized Theta Functions and the Verlinde Formula - Couverture rigide

Kumar, Shrawan

Couverture rigide

ISBN 10 : 1316518167 ISBN 13 : 9781316518168

Editeur : Cambridge University Press, 2021

Synopsis

In 1988, E. Verlinde gave a remarkable conjectural formula for the dimension of conformal blocks over a smooth curve in terms of representations of affine Lie algebras. Verlinde's formula arose from physical considerations, but it attracted further attention from mathematicians when it was realized that the space of conformal blocks admits an interpretation as the space of generalized theta functions. A proof followed through the work of many mathematicians in the 1990s. This book gives an authoritative treatment of all aspects of this theory. It presents a complete proof of the Verlinde formula and full details of the connection with generalized theta functions, including the construction of the relevant moduli spaces and stacks of G-bundles. Featuring numerous exercises of varying difficulty, guides to the wider literature and short appendices on essential concepts, it will be of interest to senior graduate students and researchers in geometry, representation theory and theoretical physics.

A propos du livre

À propos de l'auteur

Shrawan Kumar is John R. and Louise S. Parker Distinguished Professor of Mathematics at the University of North Carolina, Chapel Hill. He was an invited Speaker at the 2010 International Congress of Mathematicians and was elected a Fellow of the American Mathematical Society in 2012. This is his third book.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2021
• Langue: anglais
• ISBN 10: 1316518167
• ISBN 13: 9781316518168
• Reliure: Relié
• Nombre de pages: 540
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France