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Global Conjectures
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Book Synopsis Global Conjectures by : William C. Kirby
Download or read book Global Conjectures written by William C. Kirby and published by LIT Verlag Münster. This book was released on 2006 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with the integration of modern China into processes of global exchange and cross-border interaction. The articles explore the broader theme in different ways and in different subfields, ranging from the history of political ideas to the history of institutions, from global migration of people to the transmigration of academic discourses. Focusing on modern as well as contemporary periods, the studies demonstrate that China in the course of the twentieth century became an ever more important nodal point in a complex set of worldwide networks and engagements. The integration into global networks, together with the global consciousness that corresponded with it, made possible significant connections transcending national borders. The essays also show that the effects could be homogenizing (or globalizing), but at the same time the growing interactions also produced opposition and fragmentation.
Book Synopsis Character Theory and the McKay Conjecture by : Gabriel Navarro
Download or read book Character Theory and the McKay Conjecture written by Gabriel Navarro and published by Cambridge University Press. This book was released on 2018-04-26 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The McKay conjecture is the origin of the counting conjectures in the representation theory of finite groups. This book gives a comprehensive introduction to these conjectures, while assuming minimal background knowledge. Character theory is explored in detail along the way, from the very basics to the state of the art. This includes not only older theorems, but some brand new ones too. New, elegant proofs bring the reader up to date on progress in the field, leading to the final proof that if all finite simple groups satisfy the inductive McKay condition, then the McKay conjecture is true. Open questions are presented throughout the book, and each chapter ends with a list of problems, with varying degrees of difficulty.
Book Synopsis Stark's Conjectures: Recent Work and New Directions by : David Burns
Download or read book Stark's Conjectures: Recent Work and New Directions written by David Burns and published by American Mathematical Soc.. This book was released on 2004 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stark's conjectures on the behavior of $L$-functions were formulated in the 1970s. Since then, these conjectures and their generalizations have been actively investigated. This has led to significant progress in algebraic number theory. The current volume, based on the conference held at Johns Hopkins University (Baltimore, MD), represents the state-of-the-art research in this area. The first four survey papers provide an introduction to a majority of the recent work related to Stark's conjectures. The remaining six contributions touch on some major themes currently under exploration in the area, such as non-abelian and $p$-adic aspects of the conjectures, abelian refinements, etc. Among others, some important contributors to the volume include Harold M. Stark, John Tate, and Barry Mazur. The book is suitable for graduate students and researchers interested in number theory.
Book Synopsis The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures by : Gui-Qiang G Chen
Download or read book The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures written by Gui-Qiang G Chen and published by Princeton University Press. This book was released on 2018-02-27 with total page 829 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's conjectures for potential flow, and a collection of related results and new techniques in the analysis of partial differential equations (PDEs), as well as a set of fundamental open problems for further development. Shock waves are fundamental in nature. They are governed by the Euler equations or their variants, generally in the form of nonlinear conservation laws—PDEs of divergence form. When a shock hits an obstacle, shock reflection-diffraction configurations take shape. To understand the fundamental issues involved, such as the structure and transition criteria of different configuration patterns, it is essential to establish the global existence, regularity, and structural stability of shock reflection-diffraction solutions. This involves dealing with several core difficulties in the analysis of nonlinear PDEs—mixed type, free boundaries, and corner singularities—that also arise in fundamental problems in diverse areas such as continuum mechanics, differential geometry, mathematical physics, and materials science. Presenting recently developed approaches and techniques, which will be useful for solving problems with similar difficulties, this book opens up new research opportunities.
Book Synopsis Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures by : Elias Camouzis
Download or read book Dynamics of Third-Order Rational Difference Equations with Open Problems and Conjectures written by Elias Camouzis and published by CRC Press. This book was released on 2007-11-16 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extending and generalizing the results of rational equations, Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures focuses on the boundedness nature of solutions, the global stability of equilibrium points, the periodic character of solutions, and the convergence to periodic solutions, including their p
Book Synopsis Character Theory and the McKay Conjecture by : Gabriel Navarro
Download or read book Character Theory and the McKay Conjecture written by Gabriel Navarro and published by Cambridge University Press. This book was released on 2018-04-26 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents contemporary character theory of finite groups from the basics to the state of the art, with new, refined proofs.
Book Synopsis Beilinson's Conjectures on Special Values of L-Functions by : M. Rapoport
Download or read book Beilinson's Conjectures on Special Values of L-Functions written by M. Rapoport and published by Academic Press. This book was released on 2014-07-14 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beilinson's Conjectures on Special Values of L-Functions deals with Alexander Beilinson's conjectures on special values of L-functions. Topics covered range from Pierre Deligne's conjecture on critical values of L-functions to the Deligne-Beilinson cohomology, along with the Beilinson conjecture for algebraic number fields and Riemann-Roch theorem. Beilinson's regulators are also compared with those of Émile Borel. Comprised of 10 chapters, this volume begins with an introduction to the Beilinson conjectures and the theory of Chern classes from higher k-theory. The "simplest" example of an L-function is presented, the Riemann zeta function. The discussion then turns to Deligne's conjecture on critical values of L-functions and its connection to Beilinson's version. Subsequent chapters focus on the Deligne-Beilinson cohomology; ?-rings and Adams operations in algebraic k-theory; Beilinson conjectures for elliptic curves with complex multiplication; and Beilinson's theorem on modular curves. The book concludes by reviewing the definition and properties of Deligne homology, as well as Hodge-D-conjecture. This monograph should be of considerable interest to researchers and graduate students who want to gain a better understanding of Beilinson's conjectures on special values of L-functions.
Book Synopsis Rebalancing the Global Economy by : Stijn Claessens
Download or read book Rebalancing the Global Economy written by Stijn Claessens and published by CEPR. This book was released on 2010-08 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this electronic book is to provide policymakers and their advisers with up-to-date, comprehensive analyses of the central facets of global economic imbalances and to identify and evaluate potential national and systemic responses to this challenge. To break down the many facets of this collective economic challenge, leading experts were asked to address one of the following policy-relevant questions. 1. How large are contemporary current account imbalances? Why do they persist? 2. What are the systemic costs of imbalances? 3. What are the lessons from previous attempts to rebalance the global economy? 4. What would rebalancing entail? Which policies must change? Is collective action needed? 5. What is the political viability of proposals to rebalance national economies? 6. Are new system-wide accords needed to promote rebalancing or to discourage persistent imbalances? www.voxeu.org/reports/global_imbalances.pdf
Book Synopsis Weil Conjectures, Perverse Sheaves and l-adic Fourier Transform by : Reinhardt Kiehl
Download or read book Weil Conjectures, Perverse Sheaves and l-adic Fourier Transform written by Reinhardt Kiehl and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper "La conjecture de Weil II". The authors follow the important and beautiful methods of Laumon and Brylinski which lead to a simplification of Deligne's theory. Deligne's work is closely related to the sheaf theoretic theory of perverse sheaves. In this framework Deligne's results on global weights and his notion of purity of complexes obtain a satisfactory and final form. Therefore the authors include the complete theory of middle perverse sheaves. In this part, the l-adic Fourier transform is introduced as a technique providing natural and simple proofs. To round things off, there are three chapters with significant applications of these theories.
Book Synopsis P-adic Monodromy and the Birch and Swinnerton-Dyer Conjecture by : Workshop on p-Adic Monodromy
Download or read book P-adic Monodromy and the Birch and Swinnerton-Dyer Conjecture written by Workshop on p-Adic Monodromy and published by American Mathematical Soc.. This book was released on 1994 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: The workshop aimed to deepen understanding of the interdependence between p-adic Hodge theory, analogues of the conjecture of Birch and Swinnerton-Dyer, p-adic uniformization theory, p-adic differential equations, and deformations of Gaels representations.
Book Synopsis Literary History: Towards a Global Perspective by : Anders Pettersson
Download or read book Literary History: Towards a Global Perspective written by Anders Pettersson and published by Walter de Gruyter. This book was released on 2011-12-22 with total page 1196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Literary History: Towards a Global Perspective is a research project funded by the Swedish Research Council (Vetenskapsrådet). Initiated in 1996 and launched in 1999, it aims at finding suitable methods and approaches for studying and analysing literature globally, emphasizing the comparative and intercultural aspect. Even though we nowadays have fast and easy access to any kind of information on literature and literary history, we encounter, more than ever, the difficulty of finding a credible overall perspective on world literary history. Until today, literary cultures and traditions have usually been studied separately, each field using its own principles and methods. Even the conceptual basis itself varies from section to section and the genre concepts employed are not mutually compatible. As a consequence, it is very difficult, if not impossible, for the interested layperson as well as for the professional student, to gain a clear and fair perspective both on the literary traditions of other peoples and on one's own traditions. The project can be considered as a contribution to gradually removing this problem and helping to gain a better understanding of literature and literary history by means of a concerted empirical research and deeper conceptual reflection. The contributions to the four volumes are written in English by specialists from a large number of disciplines, primarily from the fields of comparative literature, Oriental studies and African studies in Sweden. All of the literary texts discussed in the articles are in the original language. Each one of the four volumes is devoted to a special research topic.
Book Synopsis An Introduction to the Langlands Program by : Joseph Bernstein
Download or read book An Introduction to the Langlands Program written by Joseph Bernstein and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. Each of the twelve chapters focuses on a particular topic devoted to special cases of the program. The book is suitable for graduate students and researchers.
Book Synopsis World Literature Reader by : Theo D'haen
Download or read book World Literature Reader written by Theo D'haen and published by Routledge. This book was released on 2012-06 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: World Literature is an increasingly influential subject in literary studies, which has led to the re-framing of contemporary ideas of ‘national literatures’, language and translation. World Literature: A Reader brings together thirty essential readings which display the theoretical foundations of the subject, as well as showing its conceptual development over a two hundred year period. The book features: an illuminating introduction to the subject, with suggested reading paths to help readers navigate through the materials texts exploring key themes such as globalization, cosmopolitanism, post/trans-nationalism, and translation and nationalism writings by major figures including J. W. Goethe, Karl Marx, Friedrich Engels, Longxi Zhao, David Damrosch, Gayatri Chakravorty Spivak, Pascale Casanova and Milan Kundera. The early explorations of the meaning of ‘Weltliteratur’ are introduced, while twenty-first century interpretations by leading scholars today show the latest critical developments in the field. The editors offer readers the ideal introduction to the theories and debates surrounding the impact of this crucial area on the modern literary landscape.
Author :Wilfred W. J. Hulsbergen Publisher :Springer Science & Business Media ISBN 13 :3663095053 Total Pages :246 pages Book Rating :4.6/5 (63 download)
Book Synopsis Conjectures in Arithmetic Algebraic Geometry by : Wilfred W. J. Hulsbergen
Download or read book Conjectures in Arithmetic Algebraic Geometry written by Wilfred W. J. Hulsbergen and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the early 1980's, stimulated by work of Bloch and Deligne, Beilinson stated some intriguing conjectures on special values of L-functions of algebraic varieties defined over number fields. Roughly speaking these special values are determinants of higher regulator maps relating the higher algebraic K-groups of the variety to its cohomology. In this respect, higher algebraic K-theory is believed to provide a universal, motivic cohomology theory and the regulator maps are determined by Chern characters from higher algebraic K-theory to any other suitable cohomology theory. Also, Beilinson stated a generalized Hodge conjecture. This book provides an introduction to and a survey of Beilinson's conjectures and an introduction to Jannsen's work with respect to the Hodge and Tate conjectures. It addresses mathematicians with some knowledge of algebraic number theory, elliptic curves and algebraic K-theory.
Book Synopsis The Routledge Companion to World Literature by : Theo D'haen
Download or read book The Routledge Companion to World Literature written by Theo D'haen and published by Routledge. This book was released on 2011-09-14 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the age of globalization, the category of "World Literature" is increasingly important to academic teaching and research. The Routledge Companion to World Literature offers a comprehensive pathway into this burgeoning and popular field. Separated into four key sections, the volume covers: the history of World Literature through significant writers and theorists from Goethe to Said, Casanova and Moretti the disciplinary relationship of World Literature to areas such as philology, translation, globalization and diaspora studies theoretical issues in World Literature including gender, politics and ethics a global perspective on the politics of World Literature. The forty-eight outstanding contributors to this companion offer an ideal introduction to those approaching the field for the first time, or looking to further their knowledge of this extensive field.
Book Synopsis Uncle Petros and Goldbach's Conjecture by : Apostolos Doxiadis
Download or read book Uncle Petros and Goldbach's Conjecture written by Apostolos Doxiadis and published by Faber & Faber. This book was released on 2012-11-15 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncle Petros is a family joke. An ageing recluse, he lives alone in a suburb of Athens, playing chess and tending to his garden. If you didn't know better, you'd surely think he was one of life's failures. But his young nephew suspects otherwise. For Uncle Petros, he discovers, was once a celebrated mathematician, brilliant and foolhardy enough to stake everything on solving a problem that had defied all attempts at proof for nearly three centuries - Goldbach's Conjecture. His quest brings him into contact with some of the century's greatest mathematicians, including the Indian prodigy Ramanujan and the young Alan Turing. But his struggle is lonely and single-minded, and by the end it has apparently destroyed his life. Until that is a final encounter with his nephew opens up to Petros, once more, the deep mysterious beauty of mathematics. Uncle Petros and Goldbach's Conjecture is an inspiring novel of intellectual adventure, proud genius, the exhilaration of pure mathematics - and the rivalry and antagonism which torment those who pursue impossible goals.
Author :Piotr T. Chruściel Publisher :Springer Science & Business Media ISBN 13 :9783764371302 Total Pages :500 pages Book Rating :4.3/5 (713 download)
Book Synopsis The Einstein Equations and the Large Scale Behavior of Gravitational Fields by : Piotr T. Chruściel
Download or read book The Einstein Equations and the Large Scale Behavior of Gravitational Fields written by Piotr T. Chruściel and published by Springer Science & Business Media. This book was released on 2004 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accompanying DVD-ROM contains the electronic proceedings of the summer school on mathematical general relativity and global properties of solutions of Einstein's equations held at Cargèse, Corsica, France, July 20-Aug. 10, 2002.
