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Overview"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." Full Product DetailsAuthor: Bruce HuntPublisher: Springer Nature Switzerland AG Imprint: Springer Nature Switzerland AG Edition: 1st ed. 2021 Weight: 1.124kg ISBN: 9783030698034ISBN 10: 3030698033 Pages: 622 Publication Date: 05 September 2021 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsIntroduction.- Symmetric Spaces.- Locally Symmetric Spaces.- Locally mixed symmetric spaces.- Kuga fiber spaces.- Elliptic surfaces.- Appendices.Reviews“The book contains a very useful index. As a global view, we must mention that most of the results are given with their complete proofs; this fact increases the value of the book and makes it an excellent scientific material for the researchers in the field. Besides the valuable contents, the topics being of high interest for specialists in topology, algebraic and differential geometry, one must remark once more the very well organization and clarity of this monograph.” (Adela-Gabriela Mihai, zbMATH 1504.53001, 2023) Author InformationBruce 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. Tab Content 6Author Website:Countries AvailableAll regions |
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