Mumford-Tate groups and domains : their geometry and arithmetic
Enregistré dans:
| Auteur principal: | |
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| Autres auteurs: | , |
| Support: | E-Book |
| Langue: | Anglais |
| Publié: |
Princeton ; N.J :
Princeton University Press,
2012.
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| Collection: | Annals of Mathematics Studies ;
183 |
| Sujets: | |
| Autres localisations: | Voir dans le Sudoc |
| Résumé: | Biographical note: Mark Green is professor of mathematics at the University of California, Los Angeles and is Director Emeritus of the Institute for Pure and Applied Mathematics. Phillip A. Griffiths is Professor Emeritus of Mathematics and former director at the Institute for Advanced Study in Princeton. Matt Kerr is assistant professor of mathematics at Washington University in St. Louis |
| Accès en ligne: | Accès à l'E-book |
| Lien: | Collection principale:
Annals of Mathematics Studies |
| Résumé: | Biographical note: Mark Green is professor of mathematics at the University of California, Los Angeles and is Director Emeritus of the Institute for Pure and Applied Mathematics. Phillip A. Griffiths is Professor Emeritus of Mathematics and former director at the Institute for Advanced Study in Princeton. Matt Kerr is assistant professor of mathematics at Washington University in St. Louis Main description: Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic theory and a wealth of new views and results, it will become an essential resource for graduate students and researchers. Although Mumford-Tate groups can be defined for general structures, their theory and use to date has mainly been in the classical case of abelian varieties. While the book does examine this area, it focuses on the nonclassical case. The general theory turns out to be very rich, such as in the unexpected connections of finite dimensional and infinite dimensional representation theory of real, semisimple Lie groups. The authors give the complete classification of Hodge representations, a topic that should become a standard in the finite-dimensional representation theory of noncompact, real, semisimple Lie groups. They also indicate that in the future, a connection seems ready to be made between Lie groups that admit discrete series representations and the study of automorphic cohomology on quotients of Mumford-Tate domains by arithmetic groups. Bringing together complex geometry, representation theory, and arithmetic, this book opens up a fresh perspective on an important subject |
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| Description: | La pagination de l'édition imprimée correspondante est de : 288 p. |
| Support: | Nécessite un navigateur et un lecteur de fichier PDF. |
| ISBN: | 9781400842735 |
| Accès: | L'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition |