Locally Mixed Symmetric Spaces

By:

Bruce Hunt

Format:

Hardback

Series:

Springer Monographs in Mathematics

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Description

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.

Author Biography:

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.

Release date NZ

September 5th, 2021

Author

Bruce Hunt

Series

Springer Monographs in Mathematics

Pages

622

Edition

1st ed. 2021

Audience

Professional & Vocational

Illustrations

11 Illustrations, color; 37 Illustrations, black and white; XIX, 622 p. 48 illus., 11 illus. in color.

ISBN-13

9783030698034

Product ID

34558728

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