Calabi-Yau Varieties: Arithmetic, Geometry and Physics

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.