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Locally Mixed Symmetric Spaces

Bruce Hunt

$316.95   $253.52

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English
Springer Nature Switzerland AG
05 September 2021
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.
By:  
Imprint:   Springer Nature Switzerland AG
Country of Publication:   Switzerland
Edition:   2021 ed.
Dimensions:   Height: 235mm,  Width: 155mm, 
Weight:   1.124kg
ISBN:   9783030698034
ISBN 10:   3030698033
Series:   Springer Monographs in Mathematics
Pages:   622
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

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.

Reviews for Locally Mixed Symmetric Spaces

“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)


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