Calabi-Yau Varieties: Arithmetic, Geometry and Physics

This volume presents a lively introduction to the rapidly developing and vast research areas surrounding CalabiYau varieties and string theory. With its coverage of the various perspectives of a wide area of topics such as Hodge theory, GrossSiebert 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 CalabiYau Varieties, Physics Around Mirror Symmetry, Hodge Theory in String Theory. The book is ideal for graduate students and researchers learning about CalabiYau varieties as well as physics students and string theorists who wish to learn the mathematics behind these varieties.