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Contains a collection of twenty-three essays originally appearing in the journal "Natural Language and Linguistic Theory."
Provides the first systematic study of geometry and topology of locally symmetric rank one manifolds and dynamics of discrete action of their fundamental groups. In addition to geometry and topology, this study involves several other areas of Mathematics – from algebra of varieties of groups representations and geometric group theory, to geometric analysis including classical questions from function theory.
Every mathematician should be acquainted with the basic facts about the geometry of surfaces, of two-dimensional manifolds. The theory of three-dimensional manifolds is much more difficult and still only partly understood, although there is ample evidence that the theory of three-dimensional manifolds is one of the most beautiful in the whole of mathematics. This excellent introductory work makes this mathematical wonderland remained rather inaccessible to non-specialists. The author is both a leading researcher, with a formidable geometric intuition, and a gifted expositor. His vivid descriptions of what it might be like to live in this or that three-dimensional manifold bring the subject to life. Like Poincaré, he appeals to intuition, but his enthusiasm is infectious and should make many converts for this kind of mathematics. There are good pictures, plenty of exercises and problems, and the reader will find a selection of topics which are not found in the standard repertoire. This book contains a great deal of interesting mathematics.
Low-dimensional topology has long been a fertile area for the interaction of many different disciplines of mathematics, including differential geometry, hyperbolic geometry, combinatorics, representation theory, global analysis, classical mechanics, and theoretical physics. The Park City Mathematics Institute summer school in 2006 explored in depth the most exciting recent aspects of this interaction, aimed at a broad audience of both graduate students and researchers. The present volume is based on lectures presented at the summer school on low-dimensional topology. These notes give fresh, concise, and high-level introductions to these developments, often with new arguments not found elsewh...
The political and economic rise of this small but influential community of New Christian bankers and merchants is analysed against the backdrop of its institutional dynamics, in an overall perspective never before conceived. The political, religious, economic, legal, charitable and disciplinary history of the community is thus explored through the analysis of the richly detailed protocol books, written between 1652 and 1682. This is the intimate and fascinating journey of their everyday lives, hopes and challenges, as brought to us by their leaders.
ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.
History of the Jews in America is a thorough historical account of Jewish communities in both South and North America starting from the earliest days of Spanish colonization all the way to the beginning of the 20th century. Contents The Participation of Jews in the Discovery of the New World Early Jewish Martyrs Under Spanish Rule in the New World Victims of the Inquisition in Mexico and in Peru Marranos in the Portuguese Colonies The Short-lived Dominion of the Dutch Over Brazil Recife: The First Jewish Community in the New World The Jews in Surinam or Dutch Guiana The Dutch and English West Indies New Amsterdam and New York New England and the Other English Colonies The Religious Aspect of...
The conference to celebrate the resolution of the Poincare conjecture, which is one of the Clay Mathematics Institute's seven Millennium Prize Problems, was held at the Institut Henri Poincare in Paris. Several leading mathematicians gave lectures providing an overview of the conjecture--its history, its influence on the development of mathematics, and, finally, its proof. This volume contains papers based on the lectures at that conference. Taken together, they form an extraordinary record of the work that went into the solution of one of the great problems of mathematics.
Derived from a special session on Low Dimensional Topology organized and conducted by Dr Lomonaco at the American Mathematical Society meeting held in San Francisco, California, January 7-11, 1981.