Twenty Years Of Bialowieza

This volume marks the twentieth anniversary of the Bialowieza series of meetings on Differential Geometric Methods in Physics; the anniversary meeting was held during July 1-7, 2001. The Bialowieza meetings, held every year during the first week of July, have now grown into an annual pilgrimage for an international group of physicists and mathematicians. The topics discussed at the meetings, while within the broad area of differential geometric methods in physics, have focused around quantization, coherent states, infinite dimensional systems, symplectic geometry, spectral theory and harmonic analysis. The present volume brings together a set of specially invited papers from leading experts in the various fields, who have contributed to these meetings and whose work represents a cross-section of the topics discussed. Consequently, rather than a proceedings volume, this book embodies the spirit of the Bialowieza workshops and reflects their scientific tenor, as a tribute to the completion of two decades of a shared scientific experience.This book will be of interest to researchers and graduate students working in the area of differential geometric methods in physics, as it gives interesting glimpses into the present state of the art from different points of view.

And conclusions of the workshop on the World Heritage Convention held during the IV World Congress on National Parks and Protected Areas, Caracas, Venezuela, February 1992 / Hemanta Mishra and N. Ishwaran -- From strength to strength : World Heritage in its 20th year / Jim Thorsell -- World Heritage at risk / James R. Paine -- The World Heritage Convention and protected landscapes / Michael Beresford and P.H.C. Lucas -- Wood Buffalo World Heritage Site : threats and possible solutions / Kevin McNamee -- Kluane and Wrangell-St Elias national parks : joint management of North America's largest wilderness / Michael Fay -- Charting a course for a greater Yellowstone tomorrow / Dennis Click -- Colombian-Panamanian border national parks in Darién / Dilver Octavio Pintor Peralta -- Public participation in the management of Huascarán World Heritage Site / Miriam Torres Angeles -- Scientific research in Bialowieza World Heritage Site / Czeslaw Okolow -- Buffer zone management in Sinharaja World Heritage Forest / H.M. Bandaratillake -- Environmental impacts of back-country tourism on three sides of Everest / Alton C. Byers and Kamal Banskota -- Sociocultural impacts of mountain tourism on Nepal's Sagarmatha (Everest) World Heritage Site : implications for sustainable tourism / David W. Robinson -- Manas : World Heritage in danger? / Sanjoy Deb Roy -- The effects of war on World Heritage sites and protected areas in Ethiopia / Tadesse Gebre-Michael, Tesfaye Hundessa and Jesse C. Hillman -- The International Foundation of the Banc d'Arguin / Luc Hoffman and Pierre Campredon -- Ngorongoro : striking a balance between conservation and development / Scott L. Perkin and Paul J. Mshanga -- Monitoring the environmental impacts of tourism on the Great Barrier Reef World Heritage Site / Simon Woodley -- Tourism development and Te Wahipounamu / Bruce Watson -- Application of the World Heritage Convention to Antarctica and the islands of the Southern Ocean / Paul Dingwall.

This volume marks the twentieth anniversary of the Bialowieza series of meetings on Differential Geometric Methods in Physics; the anniversary meeting was held during July 1-7, 2001. The Bialowieza meetings, held every year during the first week of July, have now grown into an annual pilgrimage for an international group of physicists and mathematicians. The topics discussed at the meetings, while within the broad area of differential geometric methods in physics, have focused around quantization, coherent states, infinite dimensional systems, symplectic geometry, spectral theory and harmonic analysis. The present volume brings together a set of specially invited papers from leading experts in the various fields, who have contributed to these meetings and whose work represents a cross-section of the topics discussed. Consequently, rather than a proceedings volume, this book embodies the spirit of the Bialowieza workshops and reflects their scientific tenor, as a tribute to the completion of two decades of a shared scientific experience.This book will be of interest to researchers and graduate students working in the area of differential geometric methods in physics, as it gives interesting glimpses into the present state of the art from different points of view.

This book features a selection of articles based on the XXXIV Białowieża Workshop on Geometric Methods in Physics, 2015. The articles presented are mathematically rigorous, include important physical implications and address the application of geometry in classical and quantum physics. Special attention deserves the session devoted to discussions of Gerard Emch's most important and lasting achievements in mathematical physics. The Białowieża workshops are among the most important meetings in the field and gather participants from mathematics and physics alike. Despite their long tradition, the Workshops remain at the cutting edge of ongoing research. For the past several years, the Białowieża Workshop has been followed by a School on Geometry and Physics, where advanced lectures for graduate students and young researchers are presented. The unique atmosphere of the Workshop and School is enhanced by the venue, framed by the natural beauty of the Białowieża forest in eastern Poland.

This volume contains cutting-edge research from leading experts in ergodic theory, dynamical systems and group actions. A large part of the volume addresses various aspects of ergodic theory of general group actions including local entropy theory, universal minimal spaces, minimal models and rank one transformations. Other papers deal with interval exchange transformations, hyperbolic dynamics, transfer operators, amenable actions and group actions on graphs.

This book provides an introduction to the theory of quantum groups with emphasis on their duality and on the setting of operator algebras. Part I of the text presents the basic theory of Hopf algebras, Van Daele's duality theory of algebraic quantum groups, and Woronowicz's compact quantum groups, staying in a purely algebraic setting. Part II focuses on quantum groups in the setting of operator algebras. Woronowicz's compact quantum groups are treated in the setting of $C^*$-algebras, and the fundamental multiplicative unitaries of Baaj and Skandalis are studied in detail. An outline of Kustermans' and Vaes' comprehensive theory of locally compact quantum groups completes this part. Part III leads to selected topics, such as coactions, Baaj-Skandalis-duality, and approaches to quantum groupoids in the setting of operator algebras. The book is addressed to graduate students and non-experts from other fields. Only basic knowledge of (multi-) linear algebra is required for the first part, while the second and third part assume some familiarity with Hilbert spaces, $C^*$-algebras, and von Neumann algebras.

' This is the first monograph devoted to the Sturm oscillatory theory for infinite systems of differential equations and its relations with the spectral theory. It aims to study a theory of self-adjoint problems for such systems, based on an elegant method of binary relations. Another topic investigated in the book is the behavior of discrete eigenvalues which appear in spectral gaps of the Hill operator and almost periodic Schrödinger operators due to local perturbations of the potential (e.g., modeling impurities in crystals). The book is based on results that have not been presented in other monographs. The only prerequisites needed to read it are basics of ordinary differential equations and operator theory. It should be accessible to graduate students, though its main topics are of interest to research mathematicians working in functional analysis, differential equations and mathematical physics, as well as to physicists interested in spectral theory of differential operators. Contents:Relation Between Spectral and Oscillatory Properties for the Matrix Sturm–Liouville ProblemFundamental System of Solutions for an Operator Differential Equation with a Singular Boundary ConditionDependence of the Spectrum of Operator Boundary Problems on Variations of a Finite or Semi-Infinite IntervalRelation Between Spectral and Oscillatory Properties for Operator Differential Equations of Arbitrary OrderSelf-Adjoint Extensions of Systems of Differential Equations of Arbitrary Order on an Infinite Interval in the Absolutely Indefinite CaseDiscrete Levels in Spectral Gaps of Perturbed Schrödinger and Hill Operators Readership: Graduate students, mathematicians and physicists interested in functional analysis, differential equations and mathematical physics. Keywords:Operator;Differential Equation;Self-Adjoint Extension;Spectrum;Perturbation;OscillationKey Features:Detailed bibliographical comments and some open questions are given after each chapterIndicates connections between the content of the book and many other topics in mathematics and physicsOpen questions are formulated and commented with the intention to attract attention of young mathematiciansReviews:“The appendix is very valuable and helps the reader to find an orientation in the very voluminous literature devoted to the spectral theory of differential operators … anybody interested in the spectral theory of differential operators will find interesting information in the book, including formulation of open problems for possible investigation.”Mathematical Reviews “This book is well-written, and a list of symbols and the index prove useful. A substantial number of open questions is also included. Although addressed primarily to the research community, the book could also be used as a graduate textbooks.”Zentralblatt MATH '