Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds write by Radu Laza. This book was released on 2013-06-12. Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds available in PDF, EPUB and Kindle. In recent years, research in K3 surfaces and Calabi–Yau varieties has seen spectacular progress from both arithmetic and geometric points of view, which in turn continues to have a huge influence and impact in theoretical physics—in particular, in string theory. The workshop on Arithmetic and Geometry of K3 surfaces and Calabi–Yau threefolds, held at the Fields Institute (August 16-25, 2011), aimed to give a state-of-the-art survey of these new developments. This proceedings volume includes a representative sampling of the broad range of topics covered by the workshop. While the subjects range from arithmetic geometry through algebraic geometry and differential geometry to mathematical physics, the papers are naturally related by the common theme of Calabi–Yau varieties. With the big variety of branches of mathematics and mathematical physics touched upon, this area reveals many deep connections between subjects previously considered unrelated. Unlike most other conferences, the 2011 Calabi–Yau workshop started with 3 days of introductory lectures. A selection of 4 of these lectures is included in this volume. These lectures can be used as a starting point for the graduate students and other junior researchers, or as a guide to the subject.
Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds
Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds write by Radu Laza. This book was released on 2013-07-31. Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds available in PDF, EPUB and Kindle.
Lectures on K3 Surfaces
Lectures on K3 Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on K3 Surfaces write by Daniel Huybrechts. This book was released on 2016-09-26. Lectures on K3 Surfaces available in PDF, EPUB and Kindle. K3 surfaces are central objects in modern algebraic geometry. This book examines this important class of Calabi–Yau manifolds from various perspectives in eighteen self-contained chapters. It starts with the basics and guides the reader to recent breakthroughs, such as the proof of the Tate conjecture for K3 surfaces and structural results on Chow groups. Powerful general techniques are introduced to study the many facets of K3 surfaces, including arithmetic, homological, and differential geometric aspects. In this context, the book covers Hodge structures, moduli spaces, periods, derived categories, birational techniques, Chow rings, and deformation theory. Famous open conjectures, for example the conjectures of Calabi, Weil, and Artin–Tate, are discussed in general and for K3 surfaces in particular, and each chapter ends with questions and open problems. Based on lectures at the advanced graduate level, this book is suitable for courses and as a reference for researchers.
Modular Calabi-Yau Threefolds
Modular Calabi-Yau Threefolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modular Calabi-Yau Threefolds write by Christian Meyer. This book was released on 2005. Modular Calabi-Yau Threefolds available in PDF, EPUB and Kindle. "The main subject of this book is the connection between Calabi-Yau threefolds and modular forms. The book presents the general theory and brings together the known results. It studies hundreds of new examples of rigid and non-rigid modular Calabi-Yau threefolds and correspondences between them. Conjectures about the possible levels of modular forms connected with Calabi-Yau threefolds are presented. Tables of newforms of weight four and large levels are compiled and included in the appendix."--Jaquette.
Calabi-Yau Varieties: Arithmetic, Geometry and Physics
Calabi-Yau Varieties: Arithmetic, Geometry and Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Calabi-Yau Varieties: Arithmetic, Geometry and Physics write by Radu Laza. This book was released on 2015-08-27. Calabi-Yau Varieties: Arithmetic, Geometry and Physics available in PDF, EPUB and Kindle. 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.
