Locally Mixed Symmetric Spaces

Lieferzeit: Lieferbar innerhalb 14 Tagen

171,19 

Springer Monographs in Mathematics

ISBN: 3030698068
ISBN 13: 9783030698065
Autor: Hunt, Bruce
Verlag: Springer Verlag GmbH
Umfang: xix, 622 S., 37 s/w Illustr., 11 farbige Illustr., 622 p. 48 illus., 11 illus. in color.
Erscheinungsdatum: 06.09.2022
Auflage: 1/2022
Produktform: Kartoniert
Einband: Kartoniert

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.

Artikelnummer: 6434078 Kategorie:

Beschreibung

Autorenporträt

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.

Herstellerkennzeichnung:


Springer Verlag GmbH
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69121 Heidelberg
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E-Mail: juergen.hartmann@springer.com

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