Integral Geometry Methods In The Geometrical Langlands Program
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Integral Geometry Methods In The Geometrical Langlands Program
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Author : Prof. Dr. Francisco Bulnes
language : en
Publisher: Scientific Research Publishing, Inc. USA
Release Date : 2016-06-08
Integral Geometry Methods In The Geometrical Langlands Program written by Prof. Dr. Francisco Bulnes and has been published by Scientific Research Publishing, Inc. USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-08 with Mathematics categories.
The book is divided on the studied aspects in integral geometry and that are of interest in field theory, at least, to the solution or obtaining of integrals to the field equations corresponding to the moduli stacks planted. In the chapters 1, 2, 3, 4, are exposed the generalizations of the Penrose transforms with a good D-modules theory in the derived categories context and their deformations. In the chapters 5, and 6, are exposed and discussed the different classification problems and their implications in the differential operators to the field equations. Finally, in the chapters 7, and 8 are exposed the aspects of the geometrical ramification of field ramification going behold the holomorphicity. In the end of the book are included several research exercises that can be discussed and exposed inside postgraduate courses in derived geometry or related as derived categories or categories on commutative and non-commutative rings.
Integral Geometry Methods In The Geometrical Langlands Program
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Author : Francisco Bulnes
language : en
Publisher:
Release Date : 2016
Integral Geometry Methods In The Geometrical Langlands Program written by Francisco Bulnes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
A Tribute To The Iconoclastic Mathematician Dr Francisco Bulnes
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Author : Helen Thrift
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2023-10-30
A Tribute To The Iconoclastic Mathematician Dr Francisco Bulnes written by Helen Thrift and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-30 with Mathematics categories.
This book is a tribute to a universal mathematician, whose contributions to pure and applied mathematics in various fields, such as algebraic geometry, mathematical physics, infinite Lie theory, astrophysics, theoretical physics, nanotechnology and electronics, are relevant for the creation of future technologies and have facilitated a greater understanding of the universe. The book contains various anecdotes of the academic experiences of Dr Francisco Bulnes, and analyses of some of the contributions he made to his fields of study. The book will be of great interest to PhD students, providing them with motivation and inspiration for their own research projects, as well as other researchers.
Advances In Complex Analysis And Applications
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Author : Francisco Bulnes
language : en
Publisher: BoD – Books on Demand
Release Date : 2020-11-04
Advances In Complex Analysis And Applications written by Francisco Bulnes and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-04 with Computers categories.
The complex analysis, also known as theory of analytic functions or complex variable function theory, is the part of mathematical analysis that investigates the functions of complex numbers, their analyticity, holomorphicity, and integration of these functions on complex domains that can be complex manifolds or submanifolds. Also the extensions of these domains to the complex projective spaces and complex topological groups are study themes. The analytic continuing of complex domains where complex series representations are used and the exploring of singularities whose integration invariants obtain values as zeros of certain polynomials of the complex rings of certain vector bundles are important in the exploring of new function classes in the meromorphic context and also arithmetic context. Also important are established correspondences with complex vector spaces, or even in their real parts, using several techniques of complex geometrical analysis, Nevanlinna methods, and other techniques as the modular forms. All this is just some examples of great abundance of the problems in mathematics research that require the complex analysis application. This book covers some interesting and original research of certain topics of complex analysis. Also included are some applications for inverse and ill posed problems developed in engineering and applied research.
Recent Advances In Numerical Simulations
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Author : Francisco Bulnes
language : en
Publisher: BoD – Books on Demand
Release Date : 2021-09-22
Recent Advances In Numerical Simulations written by Francisco Bulnes and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-22 with Computers categories.
A numerical simulation is a computing calculation following a program that develops a mathematical model for a physical, social, economic, or biological system. Numerical simulations are required for analyzing and studying the behavior of systems whose mathematical models are very complex, as in the case of nonlinear systems. Capturing the resulting uncertainty of models based on uncertain parameters and constraints in confidence intervals (1-D), or more generally (>1-D) confidence regions, is very common for expressing to which degree the computed result is believed to be consistent with possible values of the targeted observable. This book examines the different methods used in numerical simulations, including adaptive and stochastic methods as well as finite element analysis research. This work is accompanied by studies of confidence regions, often utilized to express the credibility of such calculations and simulations.
Recent Studies Inperturbation Theory
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Author : Dimo Uzunov
language : en
Publisher: BoD – Books on Demand
Release Date : 2017-06-14
Recent Studies Inperturbation Theory written by Dimo Uzunov and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-14 with Technology & Engineering categories.
The book contains seven chapters written by noted experts and young researchers who present their recent studies of both pure mathematical problems of perturbation theories and application of perturbation methods to the study of the important topic in physics, for example, renormalization group theory and applications to basic models in theoretical physics (Y. Takashi), the quantum gravity and its detection and measurement (F. Bulnes), atom-photon interactions (E. G. Thrapsaniotis), treatment of spectra and radiation characteristics by relativistic perturbation theory (A. V. Glushkov et al), and Green's function theory and some applications (Jing Huang). The pure mathematical issues are related to the problem of generalization of the boundary layer function method for bisingularly perturbed differential equations (K. Alymkulov and D. A. Torsunov) and to the development of new homotopy asymptotic methods and some of their applications (Baojian Hong).
Mathematical Unity
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Author : Oliver Vella
language : en
Publisher: eBookIt.com
Release Date : 2025-01-13
Mathematical Unity written by Oliver Vella and has been published by eBookIt.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-13 with Mathematics categories.
An Exploration of Mathematical Cohesion Embark on a journey through the intricate realms of mathematics with "Mathematical Unity: The Langlands Programme and Beyond". This groundbreaking work delves into one of the most profound and ambitious pursuits in modern mathematics. Seamlessly weaving through centuries of mathematical thought and discovery, this book takes you deep into the quest for mathematical harmony. At the heart of this narrative lies the Langlands Programme, a monumental theory that seeks to bridge diverse areas such as algebra, number theory, and geometry. Discover the origins and ambitions of this fascinating framework, as the book illuminates the pathways towards unifying seemingly disparate mathematical concepts. Covering both historical developments and the latest advancements, readers will be captivated by how ancient problems have crossed new frontiers under the Langlands lens. Engage with the minds that have contributed to this evolving field, from the pioneers who first glimpsed the potential for unity to the modern-day mathematicians pushing the boundaries of knowledge. Through detailed case studies and real-world applications, see firsthand the tangible impact this programme has had, not only within mathematics but across interdisciplinary collaborations with fields like theoretical physics. Aspiring mathematicians, academics, and enthusiasts alike will find immense value in the rich narrative that presents complex ideas with clarity and elegance. Explore how emerging technologies and innovative methods are paving the way for future developments, and delve into the philosophical questions that challenge our perception of mathematics itself. Whether you're seeking to deepen your understanding or ignite your curiosity, "Mathematical Unity: The Langlands Programme and Beyond" offers a compelling exploration of the past, present, and future of mathematical unity, enticing readers into a domain where numbers, geometry, and theory converge in harmony.
Not Even Wrong
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Author : Peter Woit
language : en
Publisher: Random House
Release Date : 2011-08-31
Not Even Wrong written by Peter Woit and has been published by Random House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-31 with Science categories.
Not Even Wrong is a fascinating exploration of our attempts to come to grips with perhaps the most intellectually demanding puzzle of all: how does the universe work at its most fundamnetal level? The book begins with an historical survey of the experimental and theoretical developments that led to the creation of the phenomenally successful 'Standard Model' of particle physics around 1975. Despite its successes, the Standard Model does not answer all the key questions and physicists continuing search for answers led to the development of superstring theory. However, after twenty years, superstring theory has failed to advance beyond the Standard Model. The absence of experimental evidence is at the core of this controversial situation which means that it is impossible to prove that superstring theory is either right or wrong. To date, only the arguments of the theory's advocates have received much publicity. Not Even Wrong provides readers with another side of the story.
The Genesis Of The Langlands Program
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Author : Julia Mueller
language : en
Publisher: Cambridge University Press
Release Date : 2021-08-05
The Genesis Of The Langlands Program written by Julia Mueller and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-05 with Mathematics categories.
A step-by-step guide to Langlands' early work leading up the Langlands Program for mathematicians and advanced students.
Eisenstein Series And Automorphic Representations
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Author : Philipp Fleig
language : en
Publisher: Cambridge Studies in Advanced
Release Date : 2018-07-05
Eisenstein Series And Automorphic Representations written by Philipp Fleig and has been published by Cambridge Studies in Advanced this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-05 with Mathematics categories.
Detailed exposition of automorphic representations and their relation to string theory, for mathematicians and theoretical physicists.