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Author : O. A. Laudal
Publisher : Springer
ISBN 13 : 3540385320
Total Pages : 165 pages
Book Rating : 4.5/5 (43 download)
Download or read book Formal Moduli of Algebraic Structures written by O. A. Laudal and published by Springer. This book was released on 2006-11-15 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wuyi Yue
Publisher : Springer
ISBN 13 : 9780387097022
Total Pages : 316 pages
Book Rating : 4.0/5 (97 download)
Download or read book Advances in Queueing Theory and Network Applications written by Wuyi Yue and published by Springer. This book was released on 2008-12-19 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Queueing Theory and Network Applications presents several useful mathematical analyses in queueing theory and mathematical models of key technologies in wired and wireless communication networks such as channel access controls, Internet applications, topology construction, energy saving schemes, and transmission scheduling. In sixteen high quality chapters, this work provides novel ideas, new analytical models, and simulation and experimental results by experts in the field of queueing theory and network applications. The text serves as a state-of-the-art reference for a wide range of researchers and engineers engaged in the fields of queueing theory and network applications, and can also serve as supplemental material for advanced courses in operations research, queueing theory, performance analysis, traffic theory, as well as theoretical design and management of communication networks.
Author : Jacques Hurtubise
Publisher : American Mathematical Soc.
ISBN 13 : 0821835688
Total Pages : 266 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Structures and Moduli Spaces written by Jacques Hurtubise and published by American Mathematical Soc.. This book was released on 2004 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains recent and exciting developments on the structure of moduli spaces, with an emphasis on the algebraic structures that underlie this structure. Topics covered include Hilbert schemes of points, moduli of instantons, coherent sheaves and their derived categories, moduli of flat connections, Hodge structures, and the topology of affine varieties. Two beautiful series of lectures are a particularly fine feature of the book. One is an introductory series by Manfred Lehn on the topology and geometry of Hilbert schemes of points on surfaces, and the other, by Hiraku Nakajima and Kota Yoshioka, explains their recent work on the moduli space of instantons over ${\mathbb R 4$. The material is suitable for graduate students and researchers interested in moduli spaces in algebraic geometry, topology, and mathematical physics.
Author : Corina Keller
Publisher : Springer
ISBN 13 : 365825338X
Total Pages : 154 pages
Book Rating : 4.6/5 (582 download)
Download or read book Chern-Simons Theory and Equivariant Factorization Algebras written by Corina Keller and published by Springer. This book was released on 2019-01-25 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Corina Keller studies non-perturbative facets of abelian Chern-Simons theories. This is a refinement of the entirely perturbative approach to classical Chern-Simons theory via homotopy factorization algebras of observables that arise from the associated formal moduli problem describing deformations of flat principal bundles with connections over the spacetime manifold. The author shows that for theories with abelian group structure, this factorization algebra of classical observables comes naturally equipped with an action of the gauge group, which allows to encode non-perturbative effects in the classical observables. About the Author: Corina Keller currently is a doctoral student in the research group of Prof. Dr. Damien Calaque at the Université Montpellier, France. She is mostly interested in the mathematical study of field theories. Her master’s thesis was supervised by PD Dr. Alessandro Valentino and Prof. Dr. Alberto Cattaneo at Zurich University, Switzerland.
Author : Hossein Abbaspour
Publisher : Springer Science & Business Media
ISBN 13 : 3834896802
Total Pages : 173 pages
Book Rating : 4.8/5 (348 download)
Download or read book Deformation Spaces written by Hossein Abbaspour and published by Springer Science & Business Media. This book was released on 2010-04-21 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first instances of deformation theory were given by Kodaira and Spencer for complex structures and by Gerstenhaber for associative algebras. Since then, deformation theory has been applied as a useful tool in the study of many other mathematical structures, and even today it plays an important role in many developments of modern mathematics. This volume collects a few self-contained and peer-reviewed papers by experts which present up-to-date research topics in algebraic and motivic topology, quantum field theory, algebraic geometry, noncommutative geometry and the deformation theory of Poisson algebras. They originate from activities at the Max-Planck-Institute for Mathematics and the Hausdorff Center for Mathematics in Bonn.
Author : Olav Arnfinn Laudal
Publisher : Springer
ISBN 13 : 3540391533
Total Pages : 123 pages
Book Rating : 4.5/5 (43 download)
Download or read book Local Moduli and Singularities written by Olav Arnfinn Laudal and published by Springer. This book was released on 2006-11-15 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph sets out to study the notion of a local moduli suite of algebraic objects like e.g. schemes, singularities or Lie algebras and provides a framework for this. The basic idea is to work with the action of the kernel of the Kodaira-Spencer map, on the base space of a versal family. The main results are the existence, in a general context, of a local moduli suite in the category of algebraic spaces, and the proof that, generically, this moduli suite is the quotient of a canonical filtration of the base space of the versal family by the action of the Kodaira-Spencer kernel. Applied to the special case of quasihomogenous hypersurfaces, these ideas provide the framework for the proof of the existence of a coarse moduli scheme for plane curve singularities with fixed semigroup and minimal Tjurina number . An example shows that for arbitrary the corresponding moduli space is not, in general, a scheme. The book addresses mathematicians working on problems of moduli, in algebraic or in complex analytic geometry. It assumes a working knowledge of deformation theory.
Author : Arvid Siqveland
Publisher : World Scientific
ISBN 13 : 1800613563
Total Pages : 420 pages
Book Rating : 4.8/5 (6 download)
Download or read book Associative Algebraic Geometry written by Arvid Siqveland and published by World Scientific. This book was released on 2023-02-17 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Deformation Theory is used for determining the completions of local rings of an eventual moduli space. When a moduli variety exists, the main result explored in the book is that the local ring in a closed point can be explicitly computed as an algebraization of the pro-representing hull, called the local formal moduli, of the deformation functor for the corresponding closed point.The book gives explicit computational methods and includes the most necessary prerequisites for understanding associative algebraic geometry. It focuses on the meaning and the place of deformation theory, resulting in a complete theory applicable to moduli theory. It answers the question 'why moduli theory', and gives examples in mathematical physics by looking at the universe as a moduli of molecules, thereby giving a meaning to most noncommutative theories.The book contains the first explicit definition of a noncommutative scheme, not necessarily covered by commutative rings. This definition does not contradict any previous abstract definitions of noncommutative algebraic geometry, but sheds interesting light on other theories, which is left for further investigation.
Author : Dennis Gaitsgory
Publisher : American Mathematical Soc.
ISBN 13 : 1470435705
Total Pages : 436 pages
Book Rating : 4.4/5 (74 download)
Download or read book A Study in Derived Algebraic Geometry: Volume II: Deformations, Lie Theory and Formal Geometry written by Dennis Gaitsgory and published by American Mathematical Soc.. This book was released on 2017-08-29 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in other parts of mathematics, most prominently in representation theory. This volume develops deformation theory, Lie theory and the theory of algebroids in the context of derived algebraic geometry. To that end, it introduces the notion of inf-scheme, which is an infinitesimal deformation of a scheme and studies ind-coherent sheaves on such. As an application of the general theory, the six-functor formalism for D-modules in derived geometry is obtained. This volume consists of two parts. The first part introduces the notion of ind-scheme and extends the theory of ind-coherent sheaves to inf-schemes, obtaining the theory of D-modules as an application. The second part establishes the equivalence between formal Lie group(oids) and Lie algebr(oids) in the category of ind-coherent sheaves. This equivalence gives a vast generalization of the equivalence between Lie algebras and formal moduli problems. This theory is applied to study natural filtrations in formal derived geometry generalizing the Hodge filtration.
Author :
Publisher : World Scientific
ISBN 13 :
Total Pages : 1191 pages
Book Rating : 4./5 ( download)
Download or read book written by and published by World Scientific. This book was released on with total page 1191 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel Huybrechts
Publisher : Cambridge University Press
ISBN 13 : 1139485822
Total Pages : 345 pages
Book Rating : 4.1/5 (394 download)
Download or read book The Geometry of Moduli Spaces of Sheaves written by Daniel Huybrechts and published by Cambridge University Press. This book was released on 2010-05-27 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.
Author : B.Heinrich Matzat
Publisher : Springer Science & Business Media
ISBN 13 : 364259932X
Total Pages : 431 pages
Book Rating : 4.6/5 (425 download)
Download or read book Algorithmic Algebra and Number Theory written by B.Heinrich Matzat and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains 22 lectures presented at the final conference of the Ger man research program (Schwerpunktprogramm) Algorithmic Number The ory and Algebra 1991-1997, sponsored by the Deutsche Forschungsgemein schaft. The purpose of this research program and of the meeting was to bring together developers of computer algebra software and researchers using com putational methods to gain insight into experimental problems and theoret ical questions in algebra and number theory. The book gives an overview on algorithmic methods and on results ob tained during this period. This includes survey articles on the main research projects within the program: • algorithmic number theory emphasizing class field theory, constructive Galois theory, computational aspects of modular forms and of Drinfeld modules • computational algebraic geometry including real quantifier elimination and real algebraic geometry, and invariant theory of finite groups • computational aspects of presentations and representations of groups, especially finite groups of Lie type and their Heeke algebras, and of the isomorphism problem in group theory. Some of the articles illustrate the current state of computer algebra sys tems and program packages developed with support by the research pro gram, such as KANT and LiDIA for algebraic number theory, SINGULAR, RED LOG and INVAR for commutative algebra and invariant theory respec tively, and GAP, SYSYPHOS and CHEVIE for group theory and representation theory.
Author : Bhatia Rajendra
Publisher : World Scientific
ISBN 13 : 9814462934
Total Pages : 4144 pages
Book Rating : 4.8/5 (144 download)
Download or read book Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures written by Bhatia Rajendra and published by World Scientific. This book was released on 2011-06-06 with total page 4144 pages. Available in PDF, EPUB and Kindle. Book excerpt: ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.
Author : R. Costa
Publisher : CRC Press
ISBN 13 : 1482270463
Total Pages : 488 pages
Book Rating : 4.4/5 (822 download)
Download or read book NonasSociative Algebra and Its Applications written by R. Costa and published by CRC Press. This book was released on 2019-05-20 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of lectures presented at the Fourth International Conference on Nonassociative Algebra and its Applications, held in Sao Paulo, Brazil. Topics in algebra theory include alternative, Bernstein, Jordan, lie, and Malcev algebras and superalgebras. The volume presents applications to population genetics theory, physics, and more.
Author : Jacques Hurtubise and Eyal Markman
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870334
Total Pages : 268 pages
Book Rating : 4.8/5 (73 download)
Download or read book Algebraic Structures and Moduli Spaces written by Jacques Hurtubise and Eyal Markman and published by American Mathematical Soc.. This book was released on with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains recent and exciting developments on the structure of moduli spaces, with an emphasis on the algebraic structures that underlie this structure. Topics covered include Hilbert schemes of points, moduli of instantons, coherent sheaves and their derived categories, moduli of flat connections, Hodge structures, and the topology of affine varieties. Two beautiful series of lectures are a particularly fine feature of the book. One is an introductory series by Manfred Lehn on the topology and geometry of Hilbert schemes of points on surfaces, and the other, by Hiraku Nakajima and Kota Yoshioka, explains their recent work on the moduli space of instantons over ${\mathbb R 4$. The material is suitable for graduate students and researchers interested in moduli spaces in algebraic geometry, topology, and mathematical physics.
Author : Svetlana Cojocaru
Publisher : IOS Press
ISBN 13 : 1586035053
Total Pages : 336 pages
Book Rating : 4.5/5 (86 download)
Download or read book Computational Commutative and Non-commutative Algebraic Geometry written by Svetlana Cojocaru and published by IOS Press. This book was released on 2005 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Olav Arnfinn Laudal
Publisher : World Scientific
ISBN 13 : 1800610297
Total Pages : 319 pages
Book Rating : 4.8/5 (6 download)
Download or read book Mathematical Models In Science written by Olav Arnfinn Laudal and published by World Scientific. This book was released on 2021-06-16 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models in Science treats General Relativity and Quantum Mechanics in a non-commutative Algebraic Geometric framework.Based on ideas first published in Geometry of Time-Spaces: Non-commutative Algebraic Geometry Applied to Quantum Theory (World Scientific, 2011), Olav Arnfinn Laudal proposes a Toy Model as a Theory of Everything, starting with the notion of the Big Bang in Cosmology, modeled as the non-commutative deformation of a thick point. From this point, the author shows how to extract reasonable models for both General Relativity and Quantum Theory. This book concludes that the universe turns out to be the 6-dimensional Hilbert scheme of pairs of points in affine 3-space. With this in place, one may develop within the model much of the physics known to the reader. In particular, this theory is applicable to the concept of Dark Matter and its effects on our visual universe.Hence, Mathematical Models in Science proves the dependency of deformation theory in Mathematical Physics and summarizes the development of physical applications of pure mathematics developed in the twentieth century.
Author : Eivind Eriksen
Publisher : CRC Press
ISBN 13 : 1351652125
Total Pages : 211 pages
Book Rating : 4.3/5 (516 download)
Download or read book Noncommutative Deformation Theory written by Eivind Eriksen and published by CRC Press. This book was released on 2017-09-19 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncommutative Deformation Theory is aimed at mathematicians and physicists studying the local structure of moduli spaces in algebraic geometry. This book introduces a general theory of noncommutative deformations, with applications to the study of moduli spaces of representations of associative algebras and to quantum theory in physics. An essential part of this theory is the study of obstructions of liftings of representations using generalised (matric) Massey products. Suitable for researchers in algebraic geometry and mathematical physics interested in the workings of noncommutative algebraic geometry, it may also be useful for advanced graduate students in these fields.
