Integral Geometry Methods In The Geometrical Langlands Program

Author : Prof. Dr. Francisco Bulnes
Publisher : Scientific Research Publishing, Inc. USA
Page : 195 pages
File Size : 44,5 Mb
Release : 2016-06-08
Category : Mathematics
ISBN : 9781618961402

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Integral Geometry Methods in the Geometrical Langlands Program by Prof. Dr. Francisco Bulnes Pdf

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.

Author : Francisco Bulnes
Publisher : Unknown
Page : 128 pages
File Size : 41,8 Mb
Release : 2016
Category : Electronic
ISBN : 161896139X

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Integral Geometry Methods in the Geometrical Langlands Program by Francisco Bulnes Pdf

Author : Joseph Bernstein,Stephen Gelbart
Publisher : Springer Science & Business Media
Page : 283 pages
File Size : 49,6 Mb
Release : 2013-12-11
Category : Mathematics
ISBN : 9780817682262

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An Introduction to the Langlands Program by Joseph Bernstein,Stephen Gelbart Pdf

This book presents a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. Each of the twelve chapters focuses on a particular topic devoted to special cases of the program. The book is suitable for graduate students and researchers.

Author : Helen Thrift,Michelle A. Musk,Yuri Stropovsvky,Sara Rains,David Cote,Daniel Álvarez-Cruz
Publisher : Cambridge Scholars Publishing
Page : 208 pages
File Size : 46,5 Mb
Release : 2023-10-30
Category : Mathematics
ISBN : 9781527552050

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A Tribute to the Iconoclastic Mathematician Dr Francisco Bulnes by Helen Thrift,Michelle A. Musk,Yuri Stropovsvky,Sara Rains,David Cote,Daniel Álvarez-Cruz Pdf

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.

Author : Francisco Bulnes,Olga Hachay
Publisher : BoD – Books on Demand
Page : 172 pages
File Size : 49,9 Mb
Release : 2020-11-04
Category : Computers
ISBN : 9781839683602

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Advances in Complex Analysis and Applications by Francisco Bulnes,Olga Hachay Pdf

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.

Author : Francisco Bulnes,Jan Peter Hessling
Publisher : BoD – Books on Demand
Page : 292 pages
File Size : 53,9 Mb
Release : 2021-09-22
Category : Computers
ISBN : 9781839681684

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Recent Advances in Numerical Simulations by Francisco Bulnes,Jan Peter Hessling Pdf

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.

Author : Taher Zouaghi
Publisher : BoD – Books on Demand
Page : 228 pages
File Size : 42,9 Mb
Release : 2018-02-21
Category : Science
ISBN : 9789535138235

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Gravity by Taher Zouaghi Pdf

This book deals with different aspects of gravity that has proved its effectiveness throughout the world, hence their solicitation in recent years. Fundamental theories, applications, and tools have been presented, emphasizing the implementation of the gravity technique. Different research themes for diverse areas in the world are detailed here, highlighting new methods of studies that could be helpful for sophisticated and modern development over the next few years. Four main sections are presented: Gravity Interpretation Tools in Geoscience, Gravity in Geoscience Applications, Gravity in Industrial Technology, and Quantum Gravity. Theoretical and acquisition tools and adapted processing methods have been designed to take into account the initial data, and modeling results thus converge toward a better solution. This book, which makes a worthwhile contribution to the topic gravity, is specifically addressed to specialists, researchers, and industry professionals who shall find its content extremely useful for a better comprehension of the geological, spatial, and industrial aspects of gravity.

Author : Dimo Uzunov
Publisher : BoD – Books on Demand
Page : 202 pages
File Size : 40,8 Mb
Release : 2017-06-14
Category : Technology & Engineering
ISBN : 9789535132615

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Recent Studies inPerturbation Theory by Dimo Uzunov Pdf

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).

Author : Sigurdur Helgason
Publisher : American Mathematical Society
Page : 667 pages
File Size : 41,8 Mb
Release : 2022-03-17
Category : Mathematics
ISBN : 9780821832110

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Groups and Geometric Analysis by Sigurdur Helgason Pdf

Group-theoretic methods have taken an increasingly prominent role in analysis. Some of this change has been due to the writings of Sigurdur Helgason. This book is an introduction to such methods on spaces with symmetry given by the action of a Lie group. The introductory chapter is a self-contained account of the analysis on surfaces of constant curvature. Later chapters cover general cases of the Radon transform, spherical functions, invariant operators, compact symmetric spaces and other topics. This book, together with its companion volume, Geometric Analysis on Symmetric Spaces (AMS Mathematical Surveys and Monographs series, vol. 39, 1994), has become the standard text for this approach to geometric analysis. Sigurdur Helgason was awarded the Steele Prize for outstanding mathematical exposition for Groups and Geometric Analysis and Differential Geometry, Lie Groups and Symmetric Spaces.

Author : De-lin Ren
Publisher : World Scientific
Page : 260 pages
File Size : 54,5 Mb
Release : 1994
Category : Mathematics
ISBN : 9810211074

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Topics in Integral Geometry by De-lin Ren Pdf

Essentials of integral geometry in a homogenous space are presented and the focus is on the basic results and applications. This book provides the readers with new findings, some being published for the first time and serves as an excellent graduate text.

Author : Israe͏̈l Mojseevic Gel'fand,Izrailʹ Moiseevich Gelʹfand,Mark Iosifovich Graev,Naum I︠A︡kovlevich Vilenkin
Publisher : Unknown
Page : 449 pages
File Size : 45,8 Mb
Release : 1966
Category : Functions
ISBN : 0122795059

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Integral Geometry and Representation Theory by Israe͏̈l Mojseevic Gel'fand,Izrailʹ Moiseevich Gelʹfand,Mark Iosifovich Graev,Naum I︠A︡kovlevich Vilenkin Pdf

Author : Lin Weng,Iku Nakamura
Publisher : World Scientific
Page : 414 pages
File Size : 50,8 Mb
Release : 2006
Category : Mathematics
ISBN : 9789812568144

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Arithmetic Geometry and Number Theory by Lin Weng,Iku Nakamura Pdf

Mathematics is very much a part of our culture; and this invaluable collection serves the purpose of developing the branches involved, popularizing the existing theories and guiding our future explorations.More precisely, the goal is to bring the reader to the frontier of current developments in arithmetic geometry and number theory through the works of Deninger-Werner in vector bundles on curves over p-adic fields; of Jiang on local gamma factors in automorphic representations; of Weng on Deligne pairings and Takhtajan-Zograf metrics; of Yoshida on CM-periods; of Yu on transcendence of special values of zetas over finite fields. In addition, the lecture notes presented by Weng at the University of Toronto from October to November 2005 explain basic ideas and the reasons (not just the language and conclusions) behind Langlands' fundamental, yet notably difficult, works on the Eisenstein series and spectral decompositions.And finally, a brand new concept by Weng called the Geometric Arithmetic program that uses algebraic and/or analytic methods, based on geometric considerations, to develop the promising and yet to be cultivated land of global arithmetic that includes non-abelian Class Field Theory, Riemann Hypothesis and non-abelian Zeta and L Functions, etc.

Author : Edward Frenkel
Publisher : Cambridge University Press
Page : 5 pages
File Size : 52,8 Mb
Release : 2007-06-28
Category : Mathematics
ISBN : 9780521854436

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Langlands Correspondence for Loop Groups by Edward Frenkel Pdf

The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.

Author : Peter Woit
Publisher : Random House
Page : 306 pages
File Size : 42,6 Mb
Release : 2011-08-31
Category : Science
ISBN : 9781446443019

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Not Even Wrong by Peter Woit Pdf

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.

Author : Julia Mueller,Freydoon Shahidi
Publisher : Cambridge University Press
Page : 451 pages
File Size : 40,9 Mb
Release : 2021-08-05
Category : Mathematics
ISBN : 9781108710947

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The Genesis of the Langlands Program by Julia Mueller,Freydoon Shahidi Pdf

A step-by-step guide to Langlands' early work leading up the Langlands Program for mathematicians and advanced students.