Superschool on Derived Categories and D-branes
Edmonton, Canada, July 17-23, 2016
Editors: Ballard, M., Doran, C., Favero, D., Sharpe, E. (Eds.)
Free Preview- Gives a broad perspective on the field, perfect for a graduate student seminar
- Distills intuition from physics for mathematicians, concretely expressing how the mathematics developed from the physics
- Builds readers' knowledge with a particular focus on GLSMs, D-branes, birational geometry, and derived categories, which does not exist in an introductory form
- Covers modern research topics without requiring considerable prior knowledge
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- About this book
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This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics. These lectures were provided by participants in the PIMS Superschool for Derived Categories and D-branes in July 2016. Together, they form a comprehensive introduction to the field that integrates perspectives from mathematicians and physicists alike.
These proceedings provide a pleasant and broad introduction into modern research topics surrounding string theory and mirror symmetry that is approachable to readers new to the subjects. These topics include constructions of various mirror pairs, approaches to mirror symmetry, connections to homological algebra, and physical motivations. Of particular interest is the connection between GLSMs, D-branes, birational geometry, and derived categories, which is explained both from a physical and mathematical perspective. The introductory lectures provided herein highlight many features of this emerging field and give concrete connections between the physics and the math.
Mathematical readers will come away with a broader perspective on this field and a bit of physical intuition, while physicists will gain an introductory overview of the developing mathematical realization of physical predictions.
- Table of contents (16 chapters)
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Abelian and Triangulated Categories
Pages 3-16
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Derived Categories and Derived Functors
Pages 17-27
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Introduction to Quivers
Pages 29-34
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Semi-orthogonal Decompositions of Derived Categories
Pages 35-48
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Introduction to Stability Conditions
Pages 49-56
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Table of contents (16 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- Superschool on Derived Categories and D-branes
- Book Subtitle
- Edmonton, Canada, July 17-23, 2016
- Editors
-
- Matthew Ballard
- Charles Doran
- David Favero
- Eric Sharpe
- Series Title
- Springer Proceedings in Mathematics & Statistics
- Series Volume
- 240
- Copyright
- 2018
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing AG, part of Springer Nature
- eBook ISBN
- 978-3-319-91626-2
- DOI
- 10.1007/978-3-319-91626-2
- Hardcover ISBN
- 978-3-319-91625-5
- Softcover ISBN
- 978-3-030-06270-5
- Series ISSN
- 2194-1009
- Edition Number
- 1
- Number of Pages
- IX, 260
- Number of Illustrations
- 5 b/w illustrations
- Topics
