Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics

Author: CLAUDIO BARTOCCI,Ugo Bruzzo,Daniel Hernández Ruipérez
Publisher: Springer Science & Business Media
ISBN: 0817646639
Category: Science
Page: 418
View: 6232
Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries. In the last three decades the development of a number of novel ideas in algebraic geometry, category theory, gauge theory, and string theory has been closely related to generalizations of integral transforms of a more geometric character. "Fourier–Mukai and Nahm Transforms in Geometry and Mathematical Physics" examines the algebro-geometric approach (Fourier–Mukai functors) as well as the differential-geometric constructions (Nahm). Also included is a considerable amount of material from existing literature which has not been systematically organized into a monograph. Key features: Basic constructions and definitions are presented in preliminary background chapters - Presentation explores applications and suggests several open questions - Extensive bibliography and index. This self-contained monograph provides an introduction to current research in geometry and mathematical physics and is intended for graduate students and researchers just entering this field.

New Trends in Geometry

Their Role in the Natural and Life Sciences
Author: Claudio Bartocci,Luciano Boi,Corrado Sinigaglia
Publisher: World Scientific
ISBN: 1848166427
Category: Mathematics
Page: 317
View: 9169
This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modeling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines. The integration of mathematics with physics, molecular and cell biology, and the neurosciences, will constitute the new frontier and challenge for 21st century science, where breakthroughs are more likely to span across traditional disciplines.

Coherent States and Their Applications

A Contemporary Panorama
Author: Jean-Pierre Antoine,Fabio Bagarello,Jean-Pierre Gazeau
Publisher: Springer
ISBN: 3319767321
Category: Science
Page: 347
View: 8318
Coherent states (CS) were originally introduced in 1926 by Schrödinger and rediscovered in the early 1960s in the context of laser physics. Since then, they have evolved into an extremely rich domain that pervades virtually every corner of physics, and have also given rise to a range of research topics in mathematics. The purpose of the 2016 CIRM conference was to bring together leading experts in the field with scientists interested in related topics, to jointly investigate their applications in physics, their various mathematical properties, and their generalizations in many directions. Instead of traditional proceedings, this book presents sixteen longer review-type contributions, which are the outcome of a collaborative effort by many conference participants, subsequently reviewed by independent experts. The book aptly illustrates the diversity of CS aspects, from purely mathematical topics to physical applications, including quantum gravity.

Fourier-Mukai Transforms in Algebraic Geometry

Author: Daniel Huybrechts
Publisher: Oxford University Press on Demand
ISBN: 0199296863
Category: Mathematics
Page: 307
View: 6884
This work is based on a course given at the Institut de Mathematiques de Jussieu, on the derived category of coherent sheaves on a smooth projective variety. It is aimed at students with a basic knowledge of algebraic geometry and contains full proofs and exercises that aid the reader.

Strings and Geometry

Proceedings of the Clay Mathematics Institute 2002 Summer School on Strings and Geometry, Isaac Newton Institute, Cambridge, United Kingdom, March 24-April 20, 2002
Author: Clay Mathematics Institute. Summer School,Isaac Newton Institute for Mathematical Sciences
Publisher: American Mathematical Soc.
ISBN: 9780821837153
Category: Mathematics
Page: 376
View: 5435
This volume is the proceedings of the 2002 Clay Mathematics Institute School on Geometry and String Theory. This month-long program was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, England, and was organized by both mathematicians and physicists: A. Corti, R. Dijkgraaf, M. Douglas, J. Gauntlett, M. Gross, C. Hull, A. Jaffe and M. Reid. The early part of the school had many lectures that introduced various concepts of algebraic geometry and string theory with a focus on improving communication between these two fields. During the latter part of the program there were also a number of research level talks. This volume contains a selection of expository and research articles by lecturers at the school and highlights some of the current interests of researchers working at the interface between string theory and algebraic geometry. The topics covered include manifolds of special holonomy, supergravity, supersymmetry, D-branes, the McKay correspondence and the Fourier-Mukai transform. The book is suitable for graduate students and research mathematicians interested in relations between mathematical physics and algebraic geometry.

Algebraic Geometry

Author: Robin Hartshorne
Publisher: Springer Science & Business Media
ISBN: 1475738498
Category: Mathematics
Page: 496
View: 4062
An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.

Maximal Cohen-Macaulay Modules Over Cohen-Macaulay Rings

Author: Y. Yoshino
Publisher: Cambridge University Press
ISBN: 9780521356947
Category: Mathematics
Page: 177
View: 8581
The purpose of these notes is to explain in detail some topics on the intersection of commutative algebra, representation theory and singularity theory. They are based on lectures given in Tokyo, but also contain new research. It is the first cohesive account of the area and will provide a useful synthesis of recent research for algebraists.

Fuzzy Sets and Systems - IFSA 2003

10th International Fuzzy Systems Association World Congress, Istanbul, Turkey, June 30 - July 2, 2003, Proceedings
Author: Taner Bilgic,Bernard De Baets,Okays Kaynak
Publisher: Springer Science & Business Media
ISBN: 3540403833
Category: Technology & Engineering
Page: 740
View: 3131
The refereed proceedings of the 10th International Fuzzy Systems Association World Congress, IFSA 2003, held in June/July 2003 in Istanbul, Turkey. The 84 papers presented together with 5 invited papers were carefully reviewed and selected form 318 submissions. The papers address all current issues in the area and present the state of the art in fuzzy sets, fuzzy systems, and fuzzy logic and their applications in a broad variety of fields. The papers are divided in four parts on mathematical issues, methodological issues, application areas, and cross-disciplinary issues.

The Geometry of Supermanifolds

Author: C. Bartocci,U. Bruzzo,Daniel Hernández-Ruipérez
Publisher: Springer Science & Business Media
ISBN: 9401135045
Category: Mathematics
Page: 242
View: 9191

Survival and Event History Analysis

A Process Point of View
Author: Odd Aalen,Ornulf Borgan,Hakon Gjessing
Publisher: Springer Science & Business Media
ISBN: 038768560X
Category: Mathematics
Page: 540
View: 9459
The aim of this book is to bridge the gap between standard textbook models and a range of models where the dynamic structure of the data manifests itself fully. The common denominator of such models is stochastic processes. The authors show how counting processes, martingales, and stochastic integrals fit very nicely with censored data. Beginning with standard analyses such as Kaplan-Meier plots and Cox regression, the presentation progresses to the additive hazard model and recurrent event data. Stochastic processes are also used as natural models for individual frailty; they allow sensible interpretations of a number of surprising artifacts seen in population data. The stochastic process framework is naturally connected to causality. The authors show how dynamic path analyses can incorporate many modern causality ideas in a framework that takes the time aspect seriously. To make the material accessible to the reader, a large number of practical examples, mainly from medicine, are developed in detail. Stochastic processes are introduced in an intuitive and non-technical manner. The book is aimed at investigators who use event history methods and want a better understanding of the statistical concepts. It is suitable as a textbook for graduate courses in statistics and biostatistics.

Land-Atmospheric Research Applications in South and Southeast Asia

Author: Krishna Prasad Vadrevu,Toshimasa Ohara,Chris Justice
Publisher: Springer
ISBN: 3319674749
Category: Technology & Engineering
Page: 725
View: 1189
This edited volume sheds new light on the impact of rapid Land Use/Cover Changes (LU/CC) on greenhouse gases (GHG’s) and aerosol emissions in South and Southeast Asia. Several countries in South/Southeast Asia have the highest population growth rates in the world, which is the main cause for LU/CC. Conversion of dense forests to agricultural areas and then to residential and urban areas is most commonly observed in South/Southeast Asian countries with a significant release of GHG’s and aerosols. The book showcases several case studies on the use of remote sensing and geospatial technologies to quantify biomass burning and air pollution impacts, aerosol pollution, LU/CC, and impacts on ecosystem services. The book also includes articles on regional initiatives in research, capacity building, and training. The authors of this book are international experts in the field, and their contributions highlight significant drivers and impacts of air pollution in South/Southeast Asia. Readers will discover the latest tools and techniques, in particular, the use of satellite remote sensing and geospatial technologies for quantifying GHG’s, aerosols and pollution episodes in this region.

Optics in Our Time

Author: Mohammad D. Al-Amri,Mohamed El-Gomati,M. Suhail Zubairy
Publisher: Springer
ISBN: 3319319035
Category: Technology & Engineering
Page: 504
View: 5859
Light and light based technologies have played an important role in transforming our lives via scientific contributions spanned over thousands of years. In this book we present a vast collection of articles on various aspects of light and its applications in the contemporary world at a popular or semi-popular level. These articles are written by the world authorities in their respective fields. This is therefore a rare volume where the world experts have come together to present the developments in this most important field of science in an almost pedagogical manner. This volume covers five aspects related to light. The first presents two articles, one on the history of the nature of light, and the other on the scientific achievements of Ibn-Haitham (Alhazen), who is broadly considered the father of modern optics. These are then followed by an article on ultrafast phenomena and the invisible world. The third part includes papers on specific sources of light, the discoveries of which have revolutionized optical technologies in our lifetime. They discuss the nature and the characteristics of lasers, Solid-state lighting based on the Light Emitting Diode (LED) technology, and finally modern electron optics and its relationship to the Muslim golden age in science. The book’s fourth part discusses various applications of optics and light in today's world, including biophotonics, art, optical communication, nanotechnology, the eye as an optical instrument, remote sensing, and optics in medicine. In turn, the last part focuses on quantum optics, a modern field that grew out of the interaction of light and matter. Topics addressed include atom optics, slow, stored and stationary light, optical tests of the foundation of physics, quantum mechanical properties of light fields carrying orbital angular momentum, quantum communication, and Wave-Particle dualism in action. “/p>

MicroBionic: Radical Electronic Music and Sound Art in the 21st Century

revised and expanded 2nd Edition
Author: Thomas Bey William Bailey
Publisher: Belsona Books Ltd.
ISBN: 0615736629
Category: Music
Page: 418
View: 8692
Micro Bionic is an exciting survey of electronic music and sound art from cultural critic and mixed-media artist Thomas Bey William Bailey. This superior revised edition includes all of the original supplements neglected by the publishers of the first edition, including a full index, bibliography, additional notes / commentary and an updated discography. As the title suggests, the unifying theme of the book is that of musicians and sound artists taking bold leaps forward in spite of (or sometimes because of) their financial, technological, and social restrictions. Some symptoms of this condition include the gigantic discography amassed by the one-man project Merzbow, the drama of silence enacted by onkyo and New Berlin Minimalism, the annihilating noise transmitted from the humble laptop computers of Russell Haswell and Peter Rehberg and much more besides. Although the journey begins in the Industrial 1980s, in order to trace how the innovations of that period have gained greater currency in the present, it surveys a wide array of artists breaking ground in the 21st century with radical attitudes and techniques. A healthy amount of global travel and concentrated listening have combined to make this a sophisticated yet accessible document, unafraid to explore both the transgressive extremes of this culture and the more deftly concealed interstices thereof. Part historical document, part survival manual for the marginalized electronic musician, part sociological investigation, Micro Bionic is a number of different things, and as such will likely generate a variety of reactions from inspiration to offense. Numerous exclusive interviews with leading lights of the field were also conducted for this book: William Bennett (Whitehouse), Peter Christopherson (r.i.p., Throbbing Gristle / Coil), Peter Rehberg, John Duncan, Francisco Lopez, Carl Michael von Hausswolff, Bob Ostertag, Zbigniew Karkowski and many others weigh in with a diversity of thoughts and opinions that underscore the incredible diversity to be found within new electronic music itself."

Magnesium Technology 2016

Author: Alok Singh,Kiran Solanki,Michele Manuel,Neale Neelameggham
Publisher: Springer
ISBN: 3319481142
Category: Technology & Engineering
Page: 402
View: 998
The Magnesium Technology Symposium, the event on which this collection is based, is one of the largest yearly gatherings of magnesium specialists in the world. Papers represent all aspects of the field, ranging from primary production to applications to recycling. Moreover, papers explore everything from basic research findings to industrialization. Magnesium Technology 2016 covers a broad spectrum of current topics, including alloys and their properties; cast products and processing; wrought products and processing; forming, joining, and machining; corrosion and surface finishing; ecology; and structural applications. In addition, there is coverage of new and emerging applications.

Advances in Soft Computing - AFSS 2002

2002 AFSS International Conference on Fuzzy Systems. Calcutta, India, February 3-6, 2002. Proceedings
Author: Nikhil R. Pal,Michio Sugeno
Publisher: Springer Science & Business Media
ISBN: 3540431500
Category: Technology & Engineering
Page: 540
View: 309
It is our great pleasure to welcome you all to the 2002 AFSS International Conference on Fuzzy Systems (AFSS 2002) to be held in Calcutta, the great City of Joy. AFSS 2002 is the ?fth conference in the series initiated by the Asian Fuzzy Systems Society (AFSS). AFSS 2002 is jointly being organized by theIndianStatisticalInstitute(ISI)andJadavpurUniversity(JU). Likeprevious conferencesinthisseries,wearesure,AFSS2002willprovideaforumforfruitful interaction and exchange of ideas between the participants from all over the globe. The present conference covers all major facets of soft computing such as fuzzy logic, neural networks, genetic algorithms including both theories and applications. Wehopethismeetingwillbeenjoyableacademicallyandotherwise. We are thankful to the members of the International Program Committee and the Area Chairs for extending their support in various forms to make a strong technical program. Each submitted paper was reviewed by at least three referees, and in some cases the revised versions were again checked by the ref- ees. As a result of this tough screening process we could select only about 50% of the submitted papers. We again express our sincere thanks to all referees for doing a great job. We are happy to note that 19 di?erent countries from all over the globe are represented by the authors, thereby making it a truly inter- tional conference. We are proud to have a list of distinguished speakers including Profs. Z. Pawlak, J. Bezdek, D. Dubois, and T. Yamakawa.

Topological Strings and Quantum Curves

Author: Lotte Hollands
Publisher: Amsterdam University Press
ISBN: 9085550203
Category: Mathematics
Page: 310
View: 1645
This thesis presents several new insights on the interface between mathematics and theoretical physics, with a central role for Riemann surfaces. First of all, the duality between Vafa-Witten theory and WZW models is embedded in string theory. Secondly, this model is generalized to a web of dualities connecting topological string theory and N=2 supersymmetric gauge theories to a configuration of D-branes that intersect over a Riemann surface. This description yields a new perspective on topological string theory in terms of a KP integrable system based on a quantum curve. Thirdly, this thesis describes a geometric analysis of wall-crossing in N=4 string theory. And lastly, it offers a novel approach to constuct metastable vacua in type IIB string theory.

Uncertainty and Risk

Mental, Formal, Experimental Representations
Author: Mohammed Abdellaoui,R. Duncan Luce,Mark Machina,Bertrand Munier
Publisher: Springer Science & Business Media
ISBN: 3540489355
Category: Business & Economics
Page: 308
View: 855
This book tries to sort out the different meanings of uncertainty and to discover their foundations. It shows that uncertainty can be represented using various tools and mental guidelines. Coverage also examines alternative ways to deal with risk and risk attitude concepts. Behavior under uncertainty emerges from this book as something to base more on inquiry and reflection rather than on mere intuition.

Handbook of Encapsulation and Controlled Release

Author: Munmaya Mishra
Publisher: CRC Press
ISBN: 1482232340
Category: Medical
Page: 1512
View: 4375
The field of encapsulation, especially microencapsulation, is a rapidly growing area of research and product development. The Handbook of Encapsulation and Controlled Release covers the entire field, presenting the fundamental processes involved and exploring how to use those processes for different applications in industry. Written at a level comprehensible to non-experts, it is a rich source of technical information and current practices in research and industry. This book is particularly designed for scientists and engineers working in various industries, including food, consumer products, pharmaceuticals, medicine, agriculture, nutraceuticals, dietary supplements, cosmetics, flavors, and fragrances. It offers a broad perspective on a variety of applications and processes, providing research information, figures, tables, illustrations, and references. The book also lays the groundwork for further advancements in encapsulation technology and controlled release applications. Catering to professionals, researchers, students, and general readers in academia, industry, and research institutions, the Handbook of Encapsulation and Controlled Release is a much-needed reference on the state of the field and an authoritative resource for continued research and development in encapsulation and controlled release technologies.

Physics of Emergence and Organization

Author: Ignazio Licata
Publisher: World Scientific
ISBN: 9812779949
Category: Science
Page: 421
View: 1554
This book is a state-of-the-art review on the Physics of Emergence. The challenge of complexity is to focus on the description levels of the observer in context-dependent situations. Emergence is not only an heuristic approach to complexity, but it also urges us to face a much deeper question ? what do we think is fundamental in the physical world?This volume provides significant and pioneering contributions based on rigorous physical and mathematical approaches ? with particular reference to the syntax of Quantum Physics and Quantum Field Theory ? dealing with the bridge-laws and their limitations between Physics and Biology, without failing to discuss the involved epistemological features.Physics of Emergence and Organization is an interdisciplinary source of reference for students and experts whose interests cross over to complexity issues.

Simulation of Semiconductor Processes and Devices 2004

Author: Gerhard Wachutka,Gabriele Schrag
Publisher: Springer Science & Business Media
ISBN: 3709106249
Category: Technology & Engineering
Page: 379
View: 1969
This volume contains the proceedings of the 10th edition of the International Conference on Simulation of Semiconductor Processes and Devices (SISPAD 2004), held in Munich, Germany, on September 2-4, 2004. The conference program included 7 invited plenary lectures and 82 contributed papers for oral or poster presentation, which were carefully selected out of a total of 151 abstracts submitted from 14 countries around the world. Like the previous meetings, SISPAD 2004 provided a world-wide forum for the presentation and discussion of recent advances and developments in the theoretical description, physical modeling and numerical simulation and analysis of semiconductor fabrication processes, device operation and system performance. The variety of topics covered by the conference contributions reflects the physical effects and technological problems encountered in consequence of the progressively shrinking device dimensions and the ever-growing complexity in device technology.