Bruce Hunt: Locally Mixed Symmetric Spaces

Cover: 9783030698065 | Locally Mixed Symmetric Spaces | Bruce Hunt | Taschenbuch | Paperback

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Sprache: Englisch

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Beschreibung

What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common? All are related to a type of manifold called locally mixed symmetric spaces in this book. The presentation emphasizes geometric concepts and relations and gives each reader the "roter Faden", starting from the basics and proceeding towards quite advanced topics which lie at the intersection of differential and algebraic geometry, algebra and topology.

Avoiding technicalities and assuming only a working knowledge of real Lie groups, the text provides a wealth of examples of symmetric spaces. The last two chapters deal with one particular case (Kuga fiber spaces) and a generalization (elliptic surfaces), both of which require some knowledge of algebraic geometry.

Of interest to topologists, differential or algebraic geometers working in areas related to arithmetic groups, the book also offers an introduction to the ideas for non-experts.

Über den Autor

Bruce Hunt studied at the University of Bonn (1978-1983) and obtained his PhD from the Max Planck Institute für Mathematik in 1986 under Fr. Hirzebruch and Andrew Sommese. From 1987 to 2000 he was Assistant Professor at Purdue University, Göttingen, Kaiserslautern, and the Max Planck Institute. Since 2000 he has worked in international investment banks, in trading architecture and risk control.

Zusammenfassung

Introduces locally mixed symmetric spaces with an emphasis on geometric concepts and relations

Focuses on examples, avoiding technicalities and assuming only a working knowledge of real Lie groups

Includes two chapters on Kuga fiber spaces and elliptic surfaces

Inhaltsverzeichnis

Introduction.- Symmetric Spaces.- Locally Symmetric Spaces.- Locally mixed symmetric spaces.- Kuga fiber spaces.- Elliptic surfaces.- Appendices.

Details

Erscheinungsjahr:	2022
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Springer Monographs in Mathematics
Inhalt:	xix 622 S. 37 s/w Illustr. 11 farbige Illustr. 622 p. 48 illus. 11 illus. in color.
ISBN-13:	9783030698065
ISBN-10:	3030698068
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Hunt, Bruce
Auflage:	1st ed. 2021
Hersteller:	Springer International Publishing Springer International Publishing AG Springer Monographs in Mathematics
Maße:	235 x 155 x 35 mm
Von/Mit:	Bruce Hunt
Erscheinungsdatum:	06.09.2022
Gewicht:	0,961 kg

Artikel-ID: 122983313