Topics in Quantum Groups and Finite-Type Invariants


Book Description

Presents the first collection of articles consisting entirely of work by the faculty and students at the Higher Mathematics College at the Independent University of Moscow. The 11 contributions cover symmetry groups of regular polyhedra over finite fields, vector bundles on an elliptical curve and Skylanin algebras, Tutte decomposition for graphs and symmetric matrices, and invarians and homology of spaces of knots in arbitrary manifolds. The focus of the text is on quantum groups and low-dimensional topology. No index. Annotation copyrighted by Book News, Inc., Portland, OR.




Topology, Geometry and Quantum Field Theory


Book Description

The symposium held in honour of the 60th birthday of Graeme Segal brought together leading physicists and mathematicians. Its topics were centred around string theory, M-theory, and quantum gravity on the one hand, and K-theory, elliptic cohomology, quantum cohomology and string topology on the other. Geometry and quantum physics developed in parallel since the recognition of the central role of non-abelian gauge theory in elementary particle physics in the late seventies and the emerging study of super-symmetry and string theory. With its selection of survey and research articles these proceedings fulfil the dual role of reporting on developments in the field and defining directions for future research. For the first time Graeme Segal's manuscript 'The definition of Conformal Field Theory' is published, which has been greatly influential over more than ten years. An introduction by the author puts it into the present context.




Mathematical Combinatorics, Vol. 2/2010


Book Description

Papers on Crypto-Automorphism of the Buchsteiner Loops, Generalizations of Poly-Bernoulli Numbers and Polynomials, Open Alliance in Graphs, Forcing Weak Edge Detour Number of a Graph, New Families of Mean Graphs, Euler-Savary Formula for the Lorentzian Planar Homothetic Motions, and other topics. Contributors: Hassan Jolany, M.R. Darafsheh, R. Eizadi Alikelaye, N. Jafari Rad, H. Rezazadeh, H. A. Malathi, H. C. Savithri, A. Nagarajan, S. Navaneetha Krishnan, R. Kala, and others.




Journey Through the Ice Age


Book Description

Some of the oldest art in the world is the subject of this riveting and beautiful book. Paul Bahn and Jean Vertut explore carved objects and wall art discoveries from the Ice Age, covering the period from 300,000 B.P. to 10,000 B.P., and their collaboration marks a signal event for archaeologists and lay readers alike. Utilizing the most modern analytical techniques in archaeology, Bahn presents new accounts of Russian caves only recently opened to foreign specialists; the latest discoveries from China and Brazil; European cave finds at Cosquer, Chauvet, and Covaciella; and the recently discovered sites in Australia. He also studies sites in Africa, India, and the Far East. Included are the only photographic images of many caves that are now closed to protect their fragile environments. A separate chapter in the book examines art fakes and forgeries and relates how such deceptions have been exposed. The beliefs and preoccupations of Paleolithic peoples resonate throughout this book: the importance of the hunt and the magic and shamanism surrounding it, the recording of the seasons, the rituals of sex and fertility, the cosmology and associated myths. Yet enigmas and mysteries emerge as well, particularly as new analytical techniques raise new questions and cast doubt on our earlier suppositions. A comprehensive, up-to-date analysis of all that has been discovered about Ice Age art, Bahn and Vertut's book offers a visually rich link with the past.







The Dawn of European Art


Book Description




Nonlinear Systems and Their Remarkable Mathematical Structures


Book Description

Nonlinear Systems and Their Remarkable Mathematical Structures, Volume 2 is written in a careful pedagogical manner by experts from the field of nonlinear differential equations and nonlinear dynamical systems (both continuous and discrete). This book aims to clearly illustrate the mathematical theories of nonlinear systems and its progress to both non-experts and active researchers in this area. Just like the first volume, this book is suitable for graduate students in mathematics, applied mathematics and engineering sciences, as well as for researchers in the subject of differential equations and dynamical systems. Features Collects contributions on recent advances in the subject of nonlinear systems Aims to make the advanced mathematical methods accessible to the non-experts Suitable for a broad readership including researchers and graduate students in mathematics and applied mathematics







Surveys on Recent Developments in Algebraic Geometry


Book Description

The algebraic geometry community has a tradition of running a summer research institute every ten years. During these influential meetings a large number of mathematicians from around the world convene to overview the developments of the past decade and to outline the most fundamental and far-reaching problems for the next. The meeting is preceded by a Bootcamp aimed at graduate students and young researchers. This volume collects ten surveys that grew out of the Bootcamp, held July 6–10, 2015, at University of Utah, Salt Lake City, Utah. These papers give succinct and thorough introductions to some of the most important and exciting developments in algebraic geometry in the last decade. Included are descriptions of the striking advances in the Minimal Model Program, moduli spaces, derived categories, Bridgeland stability, motivic homotopy theory, methods in characteristic and Hodge theory. Surveys contain many examples, exercises and open problems, which will make this volume an invaluable and enduring resource for researchers looking for new directions.




The Mathematics of Various Entertaining Subjects


Book Description

This volume brings together authors from a variety of specialties to present fascinating problems and solutions in recreational mathematics.