Editors:
- 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
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 240)
Conference series link(s): SDCD: Superschool on Derived Categories and D-branes
Conference proceedings info: SDCD 2016.
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Table of contents (16 papers)
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Front Matter
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Derived Categories and Related Topics in Algebraic Geometry
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Front Matter
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Approaches to Mirror Symmetry
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Front Matter
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About this book
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.
Editors and Affiliations
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Department of Mathematics, University of South Carolina, Columbia, USA
Matthew Ballard
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Department of Mathematics and Statistical Sciences, University of Alberta, Edmonton, Canada
Charles Doran, David Favero
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Department of Physics, Virginia Tech, Blacksburg, USA
Eric Sharpe
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
DOI: https://doi.org/10.1007/978-3-319-91626-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-91625-5Published: 23 August 2018
Softcover ISBN: 978-3-030-06270-5Published: 04 January 2019
eBook ISBN: 978-3-319-91626-2Published: 21 August 2018
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: IX, 260
Number of Illustrations: 5 b/w illustrations