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Geometric And Topological Methods For Quantum Field Theory - Proceedings Of The Summer School
This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field theory. These include Hopf algebras underlying renormalization schemes in quantum field theory, noncommutative geometry with applications to index theory on one hand and the study of aperiodic solids on the other, geometry and topology of low dimensional manifolds with applications to topological field theory, Chern-Simons supergravity and the anti de Sitter/conformal field theory correspondence. It comprises seven lectures organized around three main topics, noncommutative geometry, topological field theory, followed by supergravity and string theory, complemented by some short communications by young participants of the school.
Proceedings of the Summer School Geometric and Topological Methods for Quantum Field Theory
This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field theory. These include Hopf algebras underlying renormalization schemes in quantum field theory, noncommutative geometry with applications to index theory on one hand and the study of aperiodic solids on the other, geometry and topology of low dimensional manifolds with applications to topological field theory, Chern-Simons supergravity and the anti de Sitter/conformal field theory correspondence. It comprises seven lectures organized around three main topics, noncommutative geometry, topological field theory, followed by supergravity and string theory, complemented by some short communications by young participants of the school.
Geometric and Topological Methods for Quantum Field Theory
Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an account of important results in geometric topology. It investigates the differential equation aspects of quantum cohomology, before moving on to noncommutative geometry. This is followed by a further exploration of quantum field theory and gauge theory, describing AdS/CFT correspondence, and the functional renormalization group approach to quantum gravity. The second part covers a wide spectrum of topics on the borderline of mathematics and physics, ranging from orbifolds to quantum indistinguishability and involving a manifold of mathematical tools borrowed from geometry, algebra and analysis. Each chapter presents introductory material before moving on to more advanced results. The chapters are self-contained and can be read independently of the rest.
The Age of Dissent
The Age of Dissent argues that the defining feature of the Age of Revolutions in Latin America was the emergence of dissent as an inescapable component of political life. While contestation and seditious ideas had always been present in the region, never before had local regimes been forced to consider radical dissension as an unavoidable dimension of politics. Focusing on urban Chile between the first anticolonial conspiracy of 1780 and the consolidation of an authoritarian regime in 1833, the book argues that this revolution was caused by how people practiced communication and framed its power.
The Colombian Novel, 1844-1987
Novels such as One Hundred Years of Solitude have awakened English-language readers to the existence of Colombian literature in recent years, but Colombia has a well-established literary tradition that far predates the Latin American "boom." In this pathfinding study, Raymond Leslie Williams provides an overview of seventeen major authors and more than one hundred works spanning the years 1844 to 1987. After an introductory discussion of Colombian regionalism and novelistic development, Williams considers the novels produced in Colombia's four semi-autonomous regions. The Interior Highland Region is represented by novels ranging from Eugenio Díaz' Manuela to Eduardo Caballero Calderón's El...
Gromov-Witten Theory of Spin Curves and Orbifolds
This volume is a collection of articles on orbifolds, algebraic curves with higher spin structures, and related invariants of Gromov-Witten type. Orbifold Gromov-Witten theory generalizes quantum cohomology for orbifolds, whereas spin cohomological field theory is based on the moduli spaces of higher spin curves and is related by Witten's conjecture to the Gelfand-Dickey integrable hierarchies. A common feature of these two very different looking theories is the central role played by orbicurves in both of them. Insights in one theory can often yield insights into the other. This book brings together for the first time papers related to both sides of this interaction. The articles in the collection cover diverse topics, such as geometry and topology of orbifolds, cohomological field theories, orbifold Gromov-Witten theory, $G$-Frobenius algebra and singularities, Frobenius manifolds and Givental's quantization formalism, moduli of higher spin curves and spin cohomological field theory.
Orbifolds in Mathematics and Physics
This book publishes papers originally presented at a conference on the Mathematical Aspects of Orbifold String Theory, hosted by the University of Wisconsin-Madison. It contains a great deal of information not fully covered in the published literature and showcases the current state of the art in orbital string theory. The subject of orbifolds has a long prehistory, going back to the work of Thurston and Haefliger, with roots in the theory of manifolds, group actions, and foliations. The recent explosion of activity on the topic has been powered by applications of orbifolds to moduli problems and quantum field theory. The present volume presents an interdisciplinary look at orbifold problems...
Virtual Worlds
Virtual Worlds 2000 is the second in a series of international scientific conferences on virtual worlds held at the International Institute of Multimedia in Paris La Défense (Pôle Universitaire Léonard de Vinci). The term "virtual worlds" generally refers to virtual reality applications or experi ences. We extend the use of these terms to describe experiments that deal with the idea of synthesizing digital worlds on computers. Thus, virtual worlds could be de fined as the study of computer programs that implement digital worlds. Constructing such complex artificial worlds seems to be extremely difficult to do in any sort of complete and realistic manner. Such a new discipline must benefit from a large amount of work in various fields: virtual reality and advanced computer graphics, artificial life and evolutionary computation, simulation of physical systems, and more. Whereas virtual reality has largely concerned itself with the design of 3D immersive graphical spaces, and artificial life with the simulation of living organisms, the field of virtual worlds, is concerned with the synthesis of digital universes considered as wholes, with their own "physical" and "biological" laws.
