Mumford-Tate groups and domains : their geometry and arithmetic
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 Prin...
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| Auteurs principaux: | , , |
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| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Princeton ; N.J :
Princeton University Press
2012.
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| Collection: | Annals of Mathematics Studies
183 |
| Sujets: | |
| Accès en ligne: | Accès Université d'Orléans et IFPM Accès INSA CVL |
| Note: |
La pagination de l'édition imprimée correspondante est de : 288 p. Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Mumford-Tate groups and domains, their geometry and arithmetic, Mark Green, Phillip Griffiths, and Matt Kerr, Princeton (N.J.), Princeton University Press, 2012, 1 vol. (VI-289 p.), Annals of mathematics studies, 978-0-691-15424-4 |
| 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. Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur |
| Format: | 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 |