Overview
- Surveys the very active field of Calabi-Yau varieties from a geometric and arithmetic perspective
- Includes four introductory lectures that can be used by graduate students and other researchers as a guide to the field
- Contains a varied selection of topics from pure arithmetic questions to geometric questions to Hodge theory
- Includes supplementary material: sn.pub/extras
Part of the book series: Fields Institute Communications (FIC, volume 67)
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Table of contents (24 chapters)
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Front Matter
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Research Articles: Arithmetic and Geometry of K3, Enriques and Other Surfaces
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Front Matter
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Keywords
About this book
In recent years, research in K3 surfaces and Calabi–Yau varieties has seen spectacular progress from both arithmetic and geometric points of view, which in turn continues to have a huge influence and impact in theoretical physics—in particular, in string theory. The workshop on Arithmetic and Geometry of K3 surfaces and Calabi–Yau threefolds, held at the Fields Institute (August 16-25, 2011), aimed to give a state-of-the-art survey of these new developments. This proceedings volume includes a representative sampling of the broad range of topics covered by the workshop. While the subjects range from arithmetic geometry through algebraic geometry and differential geometry to mathematical physics, the papers are naturally related by the common theme of Calabi–Yau varieties. With the big variety of branches of mathematics and mathematical physics touched upon, this area reveals many deep connections between subjects previously considered unrelated.
Unlike most other conferences, the 2011 Calabi–Yau workshop started with 3 days of introductory lectures. A selection of 4 of these lectures is included in this volume. These lectures can be used as a starting point for the graduate students and other junior researchers, or as a guide to the subject.
Editors and Affiliations
Bibliographic Information
Book Title: Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds
Editors: Radu Laza, Matthias Schütt, Noriko Yui
Series Title: Fields Institute Communications
DOI: https://doi.org/10.1007/978-1-4614-6403-7
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-6402-0Published: 11 June 2013
Softcover ISBN: 978-1-4899-9918-4Published: 27 July 2015
eBook ISBN: 978-1-4614-6403-7Published: 12 June 2013
Series ISSN: 1069-5265
Series E-ISSN: 2194-1564
Edition Number: 1
Number of Pages: XXVI, 602
Number of Illustrations: 25 b/w illustrations, 16 illustrations in colour
Topics: Algebraic Geometry, Number Theory, Differential Geometry, Mathematical Physics