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Author : Edward Dole Lee
Release : 2004
Genre : Calabi-Yau manifolds
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis A Modular Non-rigid Calabi-Yau Threefold by : Edward Dole Lee
Download or read book A Modular Non-rigid Calabi-Yau Threefold written by Edward Dole Lee. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christian Meyer
Release : 2005
Genre : Mathematics
Kind : eBook
Book Rating : 08X/5 ( reviews)
Book Synopsis Modular Calabi-Yau Threefolds by : Christian Meyer
Download or read book Modular Calabi-Yau Threefolds written by Christian Meyer. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Author : Noriko Yui
Release : 2003
Genre : Mathematics
Kind : eBook
Book Rating : 553/5 ( reviews)
Book Synopsis Calabi-Yau Varieties and Mirror Symmetry by : Noriko Yui
Download or read book Calabi-Yau Varieties and Mirror Symmetry written by Noriko Yui. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: The idea of mirror symmetry originated in physics, but in recent years, the field of mirror symmetry has exploded onto the mathematical scene. It has inspired many new developments in algebraic and arithmetic geometry, toric geometry, the theory of Riemann surfaces, and infinite-dimensional Lie algebras among others. The developments in physics stimulated the interest of mathematicians in Calabi-Yau varieties. This led to the realization that the time is ripe for mathematicians, armed with many concrete examples and alerted by the mirror symmetry phenomenon, to focus on Calabi-Yau varieties and to test for these special varieties some of the great outstanding conjectures, e.g., the modularity conjecture for Calabi-Yau threefolds defined over the rationals, the Bloch-Beilinson conjectures, regulator maps of higher algebraic cycles, Picard-Fuchs differential equations, GKZ hypergeometric systems, and others. The articles in this volume report on current developments. The papers are divided roughly into two categories: geometric methods and arithmetic methods. One of the significant outcomes of the workshop is that we are finally beginning to understand the mirror symmetry phenomenon from the arithmetic point of view, namely, in terms of zeta-functions and L-series of mirror pairs of Calabi-Yau threefolds. The book is suitable for researchers interested in mirror symmetry and string theory.
Author : Radu Laza
Release : 2013-06-12
Genre : Mathematics
Kind : eBook
Book Rating : 03X/5 ( reviews)
Book Synopsis Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds by : Radu Laza
Download or read book Arithmetic and Geometry of K3 Surfaces and Calabi–Yau Threefolds written by Radu Laza. This book was released on 2013-06-12. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Noriko Yui, Helena Verrill, and Charles F. Doran
Release :
Genre : Duality (Mathematics)
Kind : eBook
Book Rating : 577/5 ( reviews)
Book Synopsis Modular Forms and String Duality by : Noriko Yui, Helena Verrill, and Charles F. Doran
Download or read book Modular Forms and String Duality written by Noriko Yui, Helena Verrill, and Charles F. Doran. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: "This book is a testimony to the BIRS Workshop, and it covers a wide range of topics at the interface of number theory and string theory, with special emphasis on modular forms and string duality. They include the recent advances as well as introductory expositions on various aspects of modular forms, motives, differential equations, conformal field theory, topological strings and Gromov-Witten invariants, mirror symmetry, and homological mirror symmetry. The contributions are roughly divided into three categories: arithmetic and modular forms, geometric and differential equations, and physics and string theory. The book is suitable for researchers working at the interface of number theory and string theory."--BOOK JACKET.
