Moduli Spaces and Arithmetic Dynamics
| Author | : Joseph H. Silverman |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 151 |
| Release | : |
| Genre | : Mathematics |
| ISBN | : 0821885030 |
Download Moduli Spaces and Arithmetic Dynamics Book in PDF, ePub and Kindle
Moduli Spaces And Arithmetic Dynamics PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Moduli Spaces And Arithmetic Dynamics PDF full book. Access full book title Moduli Spaces And Arithmetic Dynamics.
Advanced Topics in the Arithmetic of Elliptic Curves
| Author | : Joseph H. Silverman |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 482 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 1461208513 |
Download Advanced Topics in the Arithmetic of Elliptic Curves Book in PDF, ePub and Kindle
In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details. You are now holding that second volume. it turned out that even those ten topics would not fit Unfortunately, into a single book, so I was forced to make some choices. The following material is covered in this book: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron models, Kodaira-Neron classification of special fibers, Tate's algorithm, and Ogg's conductor-discriminant formula. V. Tate's theory of q-curves over p-adic fields. VI. Neron's theory of canonical local height functions.
Moduli Spaces of Riemann Surfaces
| Author | : Benson Farb |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 371 |
| Release | : 2013-08-16 |
| Genre | : Mathematics |
| ISBN | : 0821898876 |
Download Moduli Spaces of Riemann Surfaces Book in PDF, ePub and Kindle
Mapping class groups and moduli spaces of Riemann surfaces were the topics of the Graduate Summer School at the 2011 IAS/Park City Mathematics Institute. This book presents the nine different lecture series comprising the summer school, covering a selection of topics of current interest. The introductory courses treat mapping class groups and Teichmüller theory. The more advanced courses cover intersection theory on moduli spaces, the dynamics of polygonal billiards and moduli spaces, the stable cohomology of mapping class groups, the structure of Torelli groups, and arithmetic mapping class groups. The courses consist of a set of intensive short lectures offered by leaders in the field, designed to introduce students to exciting, current research in mathematics. These lectures do not duplicate standard courses available elsewhere. The book should be a valuable resource for graduate students and researchers interested in the topology, geometry and dynamics of moduli spaces of Riemann surfaces and related topics. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
The Arithmetic of Polynomial Dynamical Pairs
| Author | : Charles Favre |
| Publisher | : Princeton University Press |
| Total Pages | : 252 |
| Release | : 2022-06-14 |
| Genre | : Mathematics |
| ISBN | : 0691235473 |
Download The Arithmetic of Polynomial Dynamical Pairs Book in PDF, ePub and Kindle
New mathematical research in arithmetic dynamics In The Arithmetic of Polynomial Dynamical Pairs, Charles Favre and Thomas Gauthier present new mathematical research in the field of arithmetic dynamics. Specifically, the authors study one-dimensional algebraic families of pairs given by a polynomial with a marked point. Combining tools from arithmetic geometry and holomorphic dynamics, they prove an “unlikely intersection” statement for such pairs, thereby demonstrating strong rigidity features for them. They further describe one-dimensional families in the moduli space of polynomials containing infinitely many postcritically finite parameters, proving the dynamical André-Oort conjecture for curves in this context, originally stated by Baker and DeMarco. This is a reader-friendly invitation to a new and exciting research area that brings together sophisticated tools from many branches of mathematics.
The Moduli Space of Curves
| Author | : Robert H. Dijkgraaf |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 570 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461242649 |
Download The Moduli Space of Curves Book in PDF, ePub and Kindle
The moduli space Mg of curves of fixed genus g – that is, the algebraic variety that parametrizes all curves of genus g – is one of the most intriguing objects of study in algebraic geometry these days. Its appeal results not only from its beautiful mathematical structure but also from recent developments in theoretical physics, in particular in conformal field theory.
Dynamical Aspects of Teichmüller Theory
| Author | : Carlos Matheus Silva Santos |
| Publisher | : Springer |
| Total Pages | : 122 |
| Release | : 2018-07-09 |
| Genre | : Mathematics |
| ISBN | : 3319921592 |
Download Dynamical Aspects of Teichmüller Theory Book in PDF, ePub and Kindle
This book is a remarkable contribution to the literature on dynamical systems and geometry. It consists of a selection of work in current research on Teichmüller dynamics, a field that has continued to develop rapidly in the past decades. After a comprehensive introduction, the author investigates the dynamics of the Teichmüller flow, presenting several self-contained chapters, each addressing a different aspect on the subject. The author includes innovative expositions, all the while solving open problems, constructing examples, and supplementing with illustrations. This book is a rare find in the field with its guidance and support for readers through the complex content of moduli spaces and Teichmüller Theory. The author is an internationally recognized expert in dynamical systems with a talent to explain topics that is rarely found in the field. He has created a text that would benefit specialists in, not only dynamical systems and geometry, but also Lie theory and number theory.
Birational Geometry and Moduli Spaces
| Author | : Elisabetta Colombo |
| Publisher | : Springer Nature |
| Total Pages | : 200 |
| Release | : 2020-02-25 |
| Genre | : Mathematics |
| ISBN | : 303037114X |
Download Birational Geometry and Moduli Spaces Book in PDF, ePub and Kindle
This volume collects contributions from speakers at the INdAM Workshop “Birational Geometry and Moduli Spaces”, which was held in Rome on 11–15 June 2018. The workshop was devoted to the interplay between birational geometry and moduli spaces and the contributions of the volume reflect the same idea, focusing on both these areas and their interaction. In particular, the book includes both surveys and original papers on irreducible holomorphic symplectic manifolds, Severi varieties, degenerations of Calabi-Yau varieties, uniruled threefolds, toric Fano threefolds, mirror symmetry, canonical bundle formula, the Lefschetz principle, birational transformations, and deformations of diagrams of algebras. The intention is to disseminate the knowledge of advanced results and key techniques used to solve open problems. The book is intended for all advanced graduate students and researchers interested in the new research frontiers of birational geometry and moduli spaces.
Moduli Spaces
| Author | : Leticia Brambila |
| Publisher | : Cambridge University Press |
| Total Pages | : 347 |
| Release | : 2014-03-13 |
| Genre | : Mathematics |
| ISBN | : 1107636388 |
Download Moduli Spaces Book in PDF, ePub and Kindle
A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.
Algebraic and Topological Dynamics
| Author | : S. F. Koli︠a︡da |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 378 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 0821837516 |
Download Algebraic and Topological Dynamics Book in PDF, ePub and Kindle
This volume contains a collection of articles from the special program on algebraic and topological dynamics and a workshop on dynamical systems held at the Max-Planck Institute (Bonn, Germany). It reflects the extraordinary vitality of dynamical systems in its interaction with a broad range of mathematical subjects. Topics covered in the book include asymptotic geometric analysis, transformation groups, arithmetic dynamics, complex dynamics, symbolic dynamics, statisticalproperties of dynamical systems, and the theory of entropy and chaos. The book is suitable for graduate students and researchers interested in dynamical systems.
The Arithmetic of Dynamical Systems
| Author | : J.H. Silverman |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 518 |
| Release | : 2010-05-05 |
| Genre | : Mathematics |
| ISBN | : 038769904X |
Download The Arithmetic of Dynamical Systems Book in PDF, ePub and Kindle
This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the study of iteration of self-maps of the complex plane or real line, arithmetic dynamics is the study of the number-theoretic properties of rational and algebraic points under repeated application of a polynomial or rational function. A principal theme of arithmetic dynamics is that many of the fundamental problems in the theory of Diophantine equations have dynamical analogs.This graduate-level text provides an entry for students into an active field of research and serves as a standard reference for researchers.
