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Calabi-Yau Varieties: Arithmetic, Geometry and Physics
Lecture Notes on Concentrated Graduate Courses
Taschenbuch von Radu Laza (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Fills a gap in the existing literature, presenting a friendly yet comprehensive introduction of the subject matter

Covers diverse streams of current research

Provides quick exposure to rapidly developing subjects

Inhaltsverzeichnis
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).
Details
Erscheinungsjahr: 2016
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 560
Reihe: Fields Institute Monographs
Inhalt: x
547 S.
59 s/w Illustr.
12 farbige Illustr.
547 p. 71 illus.
12 illus. in color.
ISBN-13: 9781493949885
ISBN-10: 1493949888
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Redaktion: Laza, Radu
Yui, Noriko
Schütt, Matthias
Herausgeber: Radu Laza/Matthias Schütt/Noriko Yui
Auflage: Softcover reprint of the original 1st ed. 2015
Hersteller: Springer New York
Springer US, New York, N.Y.
Fields Institute Monographs
Maße: 235 x 155 x 29 mm
Von/Mit: Radu Laza (u. a.)
Erscheinungsdatum: 22.10.2016
Gewicht: 0,94 kg
preigu-id: 109983114
Zusammenfassung

Fills a gap in the existing literature, presenting a friendly yet comprehensive introduction of the subject matter

Covers diverse streams of current research

Provides quick exposure to rapidly developing subjects

Inhaltsverzeichnis
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).
Details
Erscheinungsjahr: 2016
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 560
Reihe: Fields Institute Monographs
Inhalt: x
547 S.
59 s/w Illustr.
12 farbige Illustr.
547 p. 71 illus.
12 illus. in color.
ISBN-13: 9781493949885
ISBN-10: 1493949888
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Redaktion: Laza, Radu
Yui, Noriko
Schütt, Matthias
Herausgeber: Radu Laza/Matthias Schütt/Noriko Yui
Auflage: Softcover reprint of the original 1st ed. 2015
Hersteller: Springer New York
Springer US, New York, N.Y.
Fields Institute Monographs
Maße: 235 x 155 x 29 mm
Von/Mit: Radu Laza (u. a.)
Erscheinungsdatum: 22.10.2016
Gewicht: 0,94 kg
preigu-id: 109983114
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