Calabi-Yau Varieties: Arithmetic, Geometry and Physics: Lecture Notes on Concentrated Graduate Courses

ISBN-13: 9781493928293 / Angielski / Twarda / 2015 / 547 str.

Radu Laza; Matthias Schutt; Noriko Yui

Opis

This volumepresents a lively introduction to the rapidly developing and vast research areas surroundingCalabi 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 basedon lectures that took place during workshops with the following thematictitles: Modular Forms Around String Theory, EnumerativeGeometry and Calabi Yau Varieties, Physics Around Mirror Symmetry, Hodge Theoryin String Theory. The book is ideal for graduate students and researchers learning aboutCalabi Yau varieties as well as physics students and string theorists who wish to learn the mathematics behind these varieties."

Spis treści

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).

O autorze

Matthias Schütt, geboren 1955, Journalist, ist nach über 20-jähriger Tätigkeit als leitender Redakteur seit 2008 freiberuflich tätig.