Calabi-Yau Varieties: Arithmetic, Geometry and Physics
Lecture Notes on Concentrated Graduate Courses
(Sprache: Englisch)
This volume presents a lively introduction to the rapidly developing and vast research areas surrounding Calabi-Yau varieties and string theory. With its coverage of the various perspectives of a wide area of topics such as Hodge theory, Gross-Siebert...
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Klappentext zu „Calabi-Yau Varieties: Arithmetic, Geometry and Physics “
This volume presents a lively introduction to the rapidly developing and vast research areas surrounding Calabi-Yau varieties and string theory. With its coverage of the various perspectives of a wide area of topics such as Hodge theory, Gross-Siebert program, moduli problems, toric approach, and arithmetic aspects, the book gives a comprehensive overview of the current streams of mathematical research in the area.The contributions in this book are based on lectures that took place during workshops with the following thematic titles: "Modular Forms Around String Theory," "Enumerative Geometry and Calabi-Yau Varieties," "Physics Around Mirror Symmetry," "Hodge Theory in String Theory." The book is ideal for graduate students and researchers learning about Calabi-Yau varieties as well as physics students and string theorists who wish to learn the mathematics behind these varieties.
Inhaltsverzeichnis zu „Calabi-Yau Varieties: Arithmetic, Geometry and Physics “
The Geometry and Moduli of K3 Surfaces (A. Harder, A. Thompson).- Picard Ranks of K3 Surfaces of BHK Type (T. Kelly).- Reflexive Polytopes and Lattice-Polarized K3 Surfaces (U. Whitcher).- An Introduction to Hodge Theory (S.A. Filippini, H. Ruddat, A. Thompson).- Introduction to Nonabelian Hodge Theory (A. Garcia-Raboso, S. Rayan).- Algebraic and Arithmetic Properties of Period Maps (M. Kerr).- Mirror Symmetry in Physics (C. Quigley).- Introduction to Gromov-Witten Theory (S. Rose).- Introduction to Donaldson-Thomas and Stable Pair Invariants (M. van Garrel).- Donaldson-Thomas Invariants and Wall-Crossing Formulas (Y. Zhu).- Enumerative Aspects of the Gross-Siebert Program (M. van Garrel, D.P. Overholser, H. Ruddat).- Introduction to Modular Forms (S. Rose).- Lectures on Holomorphic Anomaly Equations (A. Kanazawa, J. Zhou).- Polynomial Structure of Topological Partition Functions (J. Zhou).- Introduction to Arithmetic Mirror Symmetry (A. Perunicic).
Autoren-Porträt
Matthias Schütt, geboren 1955, Journalist, ist nach über 20-jähriger Tätigkeit als leitender Redakteur seit 2008 freiberuflich tätig.
Bibliographische Angaben
- 2015, 1st ed. 2015, X, 547 Seiten, 12 farbige Abbildungen, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Herausgegeben: Radu Laza, Matthias Schütt, Noriko Yui
- Verlag: Springer, Berlin
- ISBN-10: 1493928295
- ISBN-13: 9781493928293
- Erscheinungsdatum: 30.08.2015
Sprache:
Englisch
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