Introduction to Soergel Bimodules
Authors: Elias, B., Makisumi, S., Thiel, U., Williamson, G.
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- First account in book form of diagrammatics for Soergel bimodules, with hundreds of figures
- Contains hundreds of exercises and examples to help the reader learn the material
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- About this book
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This book provides a comprehensive introduction to Soergel bimodules. First introduced by Wolfgang Soergel in the early 1990s, they have since become a powerful tool in geometric representation theory. On the one hand, these bimodules are fairly elementary objects and explicit calculations are possible. On the other, they have deep connections to Lie theory and geometry. Taking these two aspects together, they offer a wonderful primer on geometric representation theory. In this book the reader is introduced to the theory through a series of lectures, which range from the basics, all the way to the latest frontiers of research.
This book serves both as an introduction and as a reference guide to the theory of Soergel bimodules. Thus it is intended for anyone who wants to learn about this exciting field, from graduate students to experienced researchers.
- About the authors
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Ben Elias hails from sunny Massachusetts and is well known for his wit and ability to do diagrammatic calculations like no other. He’s also been known to solve a crossword at the same time as playing a Bach prelude. He is currently a professor at the University of Oregon.
Shotaro Makisumi (known to his friends as “Macky”) is originally from Ube, Japan. He studied at Stanford and is currently at Columbia. Despite his successes proving theorems, he is still best known for his extraordinary skills with the Rubik’s Cube.
Ulrich Thiel studied in Kaiserslautern, Germany, and after a brief voyage around the globe, recently returned there to take up a professorship. Let’s be honest: he’s the brains behind the operation.
Geordie Williamson grew up with the wombats and kangaroos in rural Australia. He completed his PhD under Soergel’s supervision, and after stints in Oxford and Bonn, returned to his furry friends in 2017.
All four authors delight in challenging each other to bouts of sumo, before retiring to a traditional meal of chanko nabe.
- Table of contents (27 chapters)
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How to Think About Coxeter Groups
Pages 3-23
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Reflection Groups and Coxeter Groups
Pages 25-37
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The Hecke Algebra and Kazhdan–Lusztig Polynomials
Pages 39-58
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Soergel Bimodules
Pages 59-75
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The “Classical” Theory of Soergel Bimodules
Pages 77-97
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Table of contents (27 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Introduction to Soergel Bimodules
- Authors
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- Ben Elias
- Shotaro Makisumi
- Ulrich Thiel
- Geordie Williamson
- Series Title
- RSME Springer Series
- Series Volume
- 5
- Copyright
- 2020
- Publisher
- Springer International Publishing
- Copyright Holder
- The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-48826-0
- DOI
- 10.1007/978-3-030-48826-0
- Hardcover ISBN
- 978-3-030-48825-3
- Series ISSN
- 2509-8888
- Edition Number
- 1
- Number of Pages
- XXV, 588
- Number of Illustrations
- 290 b/w illustrations, 181 illustrations in colour
- Topics
