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Works:  2,203 works in 2,250 publications in 2 languages and 31,623 library holdings 

Genres:  Conference papers and proceedings 
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Classifications:  QA3, 510 
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Lectures on SeibergWitten invariants by
John D Moore(
)
2 editions published between 1996 and 2001 in English and held by 60 WorldCat member libraries worldwide
This book gives a streamlined introduction to the theory of SeibergWitten invariants suitable for secondyear graduate students. These invariants can be used to prove that there are many compact topological fourmanifolds which have more than one smooth structure, and that others have no smooth structure at all. This topic provides an excellent example of how global analysis techniques, which have been developed to study nonlinear partial differential equations, can be applied to the solution of interesting geometrical problems. In the second edition, some material has been expanded for better comprehension
2 editions published between 1996 and 2001 in English and held by 60 WorldCat member libraries worldwide
This book gives a streamlined introduction to the theory of SeibergWitten invariants suitable for secondyear graduate students. These invariants can be used to prove that there are many compact topological fourmanifolds which have more than one smooth structure, and that others have no smooth structure at all. This topic provides an excellent example of how global analysis techniques, which have been developed to study nonlinear partial differential equations, can be applied to the solution of interesting geometrical problems. In the second edition, some material has been expanded for better comprehension
Geometric aspects of functional analysis : Israel seminar (GAFA) 198990 by
Bo'az Klartag(
)
2 editions published between 1988 and 1989 in English and held by 52 WorldCat member libraries worldwide
This is the third published volume of the proceedings of the Israel Seminar on Geometric Aspects of Functional Analysis. The large majority of the papers in this volume are original research papers. There was last year a strong emphasis on classical finitedimensional convexity theory and its connection with Banach space theory. In recent years, it has become evident that the notions and results of the local theory of Banach spaces are useful in solving classical questions in convexity theory. The present volume contributes to clarifying this point. In addition this volume contains basic contributions to ergodic theory, invariant subspace theory and qualitative differential geometry
2 editions published between 1988 and 1989 in English and held by 52 WorldCat member libraries worldwide
This is the third published volume of the proceedings of the Israel Seminar on Geometric Aspects of Functional Analysis. The large majority of the papers in this volume are original research papers. There was last year a strong emphasis on classical finitedimensional convexity theory and its connection with Banach space theory. In recent years, it has become evident that the notions and results of the local theory of Banach spaces are useful in solving classical questions in convexity theory. The present volume contributes to clarifying this point. In addition this volume contains basic contributions to ergodic theory, invariant subspace theory and qualitative differential geometry
Theory of a higherorder SturmLiouville equation by
Vladimir Kozlov(
)
1 edition published in 1997 in English and held by 35 WorldCat member libraries worldwide
This book develops a detailed theory of a generalized SturmLiouville Equation, which includes conditions of solvability, classes of uniqueness, positivity properties of solutions and Green's functions, asymptotic properties of solutions at infinity. Of independent interest, the higherorder SturmLiouville equation also proved to have important applications to differential equations with operator coefficients and elliptic boundary value problems for domains with nonsmooth boundaries. The book addresses graduate students and researchers in ordinary and partial differential equations, and is accessible with a standard undergraduate course in real analysis
1 edition published in 1997 in English and held by 35 WorldCat member libraries worldwide
This book develops a detailed theory of a generalized SturmLiouville Equation, which includes conditions of solvability, classes of uniqueness, positivity properties of solutions and Green's functions, asymptotic properties of solutions at infinity. Of independent interest, the higherorder SturmLiouville equation also proved to have important applications to differential equations with operator coefficients and elliptic boundary value problems for domains with nonsmooth boundaries. The book addresses graduate students and researchers in ordinary and partial differential equations, and is accessible with a standard undergraduate course in real analysis
Spaces of homotopy selfequivalences : a survey by
John Rutter(
)
1 edition published in 1997 in English and held by 34 WorldCat member libraries worldwide
This survey covers groups of homotopy selfequivalence classes of topological spaces, and the homotopy type of spaces of homotopy selfequivalences. For manifolds, the full group of equivalences and the mapping class group are compared, as are the corresponding spaces. Included are methods of calculation, numerous calculations, finite generation results, Whitehead torsion and other areas. Some 330 references are given. The book assumes familiarity with cell complexes, homology and homotopy. Graduate students and established researchers can use it for learning, for reference, and to determine the current state of knowledge
1 edition published in 1997 in English and held by 34 WorldCat member libraries worldwide
This survey covers groups of homotopy selfequivalence classes of topological spaces, and the homotopy type of spaces of homotopy selfequivalences. For manifolds, the full group of equivalences and the mapping class group are compared, as are the corresponding spaces. Included are methods of calculation, numerous calculations, finite generation results, Whitehead torsion and other areas. Some 330 references are given. The book assumes familiarity with cell complexes, homology and homotopy. Graduate students and established researchers can use it for learning, for reference, and to determine the current state of knowledge
Real methods in complex and CR geometry : lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, June
30July 6, 2002 by
Centro internazionale matematico estivo(
)
1 edition published in 2004 in English and held by 34 WorldCat member libraries worldwide
The geometry of real submanifolds in complex manifolds and the analysis of their mappings belong to the most advanced streams of contemporary Mathematics. In this area converge the techniques of various and sophisticated mathematical fields such as P.D.E.'s, boundary value problems, induced equations, analytic discs in symplectic spaces, complex dynamics. For the variety of themes and the surprisingly good interplaying of different research tools, these problems attracted the attention of some among the best mathematicians of these latest two decades. They also entered as a refined content of an advanced education. In this sense the five lectures of this volume provide an excellent cultural background while giving very deep insights of current research activity
1 edition published in 2004 in English and held by 34 WorldCat member libraries worldwide
The geometry of real submanifolds in complex manifolds and the analysis of their mappings belong to the most advanced streams of contemporary Mathematics. In this area converge the techniques of various and sophisticated mathematical fields such as P.D.E.'s, boundary value problems, induced equations, analytic discs in symplectic spaces, complex dynamics. For the variety of themes and the surprisingly good interplaying of different research tools, these problems attracted the attention of some among the best mathematicians of these latest two decades. They also entered as a refined content of an advanced education. In this sense the five lectures of this volume provide an excellent cultural background while giving very deep insights of current research activity
Séminaire sur les algèbres complètes by
Jean Pierre Ferrier(
)
1 edition published in 1970 in French and held by 34 WorldCat member libraries worldwide
1 edition published in 1970 in French and held by 34 WorldCat member libraries worldwide
Probability theory of classical Euclidean optimization problems by
Joseph Yukich(
)
1 edition published in 1998 in English and held by 34 WorldCat member libraries worldwide
This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research. Using twosided additivity and isoperimetry, it formulates general methods describing the total edge length of random graphs in Euclidean space. The approach furnishes strong laws of large numbers, large deviations, and rates of convergence for solutions to the random versions of various classic optimization problems, including the traveling salesman, minimal spanning tree, minimal matching, minimal triangulation, twofactor, and kmedian problems. Essentially selfcontained, this monograph may be read by probabilists, combinatorialists, graph theorists, and theoretical computer scientists
1 edition published in 1998 in English and held by 34 WorldCat member libraries worldwide
This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research. Using twosided additivity and isoperimetry, it formulates general methods describing the total edge length of random graphs in Euclidean space. The approach furnishes strong laws of large numbers, large deviations, and rates of convergence for solutions to the random versions of various classic optimization problems, including the traveling salesman, minimal spanning tree, minimal matching, minimal triangulation, twofactor, and kmedian problems. Essentially selfcontained, this monograph may be read by probabilists, combinatorialists, graph theorists, and theoretical computer scientists
Topics in cohomology of groups by
Serge Lang(
)
1 edition published in 1996 in English and held by 34 WorldCat member libraries worldwide
The book is a mostly translated reprint of a report on cohomology of groups from the 1950s and 1960s, originally written as background for the ArtinTate notes on class field theory, following the cohomological approach. This report was first published (in French) by Benjamin. For this new English edition, the author added Tate's local duality, written up from letters which John Tate sent to Lang in 1958  1959. Except for this last item, which requires more substantial background in algebraic geometry and especially abelian varieties, the rest of the book is basically elementary, depending only on standard homological algebra at the level of first year graduate students
1 edition published in 1996 in English and held by 34 WorldCat member libraries worldwide
The book is a mostly translated reprint of a report on cohomology of groups from the 1950s and 1960s, originally written as background for the ArtinTate notes on class field theory, following the cohomological approach. This report was first published (in French) by Benjamin. For this new English edition, the author added Tate's local duality, written up from letters which John Tate sent to Lang in 1958  1959. Except for this last item, which requires more substantial background in algebraic geometry and especially abelian varieties, the rest of the book is basically elementary, depending only on standard homological algebra at the level of first year graduate students
Total colourings of graphs by
HianPoh Yap(
)
1 edition published in 1996 in English and held by 34 WorldCat member libraries worldwide
This book provides an uptodate and rapid introduction to an important and currently active topic in graph theory. The author leads the reader to the forefront of research in this area. Complete and easily readable proofs of all the main theorems, together with numerous examples, exercises and open problems are given. The book is suitable for use as a textbook or as seminar material for advanced undergraduate and graduate students. The references are comprehensive and so it will also be useful for researchers as a handbook
1 edition published in 1996 in English and held by 34 WorldCat member libraries worldwide
This book provides an uptodate and rapid introduction to an important and currently active topic in graph theory. The author leads the reader to the forefront of research in this area. Complete and easily readable proofs of all the main theorems, together with numerous examples, exercises and open problems are given. The book is suitable for use as a textbook or as seminar material for advanced undergraduate and graduate students. The references are comprehensive and so it will also be useful for researchers as a handbook
Realizations of polylogarithms by
Jörg Wildeshaus(
)
1 edition published in 1997 in English and held by 34 WorldCat member libraries worldwide
Classically, higher logarithms appear as multivalued functions on the projective line. Today they can be interpreted as entries of the period matrix of a certain variation of Hodge structure, itself called the "polylogarithm". The aim of the book is to document the sheaftheoretical foundations of the field of polylogarithms. Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties. The reader is expected to have a sound background in algebraic geometry. Large parts of the book are expository, and intended as a reference for the working mathematician. Where a selfcontained exposition was not possible, the author gives references in order to make the material accessible for advanced graduate students
1 edition published in 1997 in English and held by 34 WorldCat member libraries worldwide
Classically, higher logarithms appear as multivalued functions on the projective line. Today they can be interpreted as entries of the period matrix of a certain variation of Hodge structure, itself called the "polylogarithm". The aim of the book is to document the sheaftheoretical foundations of the field of polylogarithms. Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties. The reader is expected to have a sound background in algebraic geometry. Large parts of the book are expository, and intended as a reference for the working mathematician. Where a selfcontained exposition was not possible, the author gives references in order to make the material accessible for advanced graduate students
Probabilistic models for nonlinear partial differential equations : lectures given at the 1st session of the Centro internazionale
matematico estivo (C.I.M.E.) held in Montecatini Terme, Italy, May 2230, 1995 by
Carl Graham(
)
1 edition published in 1996 in English and held by 34 WorldCat member libraries worldwide
The lecture courses of the CIME Summer School on Probabilistic Models for Nonlinear PDE's and their Numerical Applications (April 1995) had a threefold emphasis: first, on the weak convergence of stochastic integrals; second, on the probabilistic interpretation and the particle approximation of equations coming from Physics (conservation laws, Boltzmannlike and NavierStokes equations); third, on the modelling of networks by interacting particle systems. This book, collecting the notes of these courses, will be useful to probabilists working on stochastic particle methods and on the approximation of SPDEs, in particular, to PhD students and young researchers
1 edition published in 1996 in English and held by 34 WorldCat member libraries worldwide
The lecture courses of the CIME Summer School on Probabilistic Models for Nonlinear PDE's and their Numerical Applications (April 1995) had a threefold emphasis: first, on the weak convergence of stochastic integrals; second, on the probabilistic interpretation and the particle approximation of equations coming from Physics (conservation laws, Boltzmannlike and NavierStokes equations); third, on the modelling of networks by interacting particle systems. This book, collecting the notes of these courses, will be useful to probabilists working on stochastic particle methods and on the approximation of SPDEs, in particular, to PhD students and young researchers
Vector bundles on curvesnew directions : lectures given at the 3rd session of the Centro internazionale matematico estivo
(C.I.M.E.) held in Cetraro (Cosenza), Italy, June 1927, 1995 by
Shrawan Kumar(
)
1 edition published in 1997 in English and held by 34 WorldCat member libraries worldwide
The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics. It deals with: 1. The relation between conformal blocks and generalised theta functions (Lectures by S. Kumar) 2. Drinfeld Shtukas (Lectures by G. Laumon) 3. Drinfeld modules and Elliptic Sheaves (Lectures by U. Stuhler) The latter topics are useful in connection with Langlands programme for function fields. The contents of the book would give a comprehensive introduction of these topics to graduate students and researchers
1 edition published in 1997 in English and held by 34 WorldCat member libraries worldwide
The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics. It deals with: 1. The relation between conformal blocks and generalised theta functions (Lectures by S. Kumar) 2. Drinfeld Shtukas (Lectures by G. Laumon) 3. Drinfeld modules and Elliptic Sheaves (Lectures by U. Stuhler) The latter topics are useful in connection with Langlands programme for function fields. The contents of the book would give a comprehensive introduction of these topics to graduate students and researchers
Sequences, discrepancies, and applications by
Michael Drmota(
)
1 edition published in 1997 in English and held by 34 WorldCat member libraries worldwide
The main purpose of this book is to give an overview of the developments during the last 20 years in the theory of uniformly distributed sequences. The authors focus on various aspects such as special sequences, metric theory, geometric concepts of discrepancy, irregularities of distribution, continuous uniform distribution and uniform distribution in discrete spaces. Specific applications are presented in detail: numerical integration, spherical designs, random number generation and mathematical finance. Furthermore over 1000 references are collected and discussed. While written in the style of a research monograph, the book is readable with basic knowledge in analysis, number theory and measure theory
1 edition published in 1997 in English and held by 34 WorldCat member libraries worldwide
The main purpose of this book is to give an overview of the developments during the last 20 years in the theory of uniformly distributed sequences. The authors focus on various aspects such as special sequences, metric theory, geometric concepts of discrepancy, irregularities of distribution, continuous uniform distribution and uniform distribution in discrete spaces. Specific applications are presented in detail: numerical integration, spherical designs, random number generation and mathematical finance. Furthermore over 1000 references are collected and discussed. While written in the style of a research monograph, the book is readable with basic knowledge in analysis, number theory and measure theory
Symplectic manifolds with no Kähler structure by
Aleksy Tralle(
)
1 edition published in 1997 in English and held by 34 WorldCat member libraries worldwide
Publisher Description (unedited publisher data) This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory. In recent years, some new and stimulating conjectures and problems have been formulated due to an influx of homotopical ideas. Examples include the LuptonOprea conjecture, the BensonGordon conjecture, both of which are in the spirit of some older and still unsolved problems (e.g. Thurston's conjecture and Sullivan's problem). Our explicit aim is to clarify the interrelations between certain aspects of symplectic geometry and homotopy theory in the framework of the problems mentioned above. We expect that the reader is aware of the basics of differential geometry and algebraic topology at graduate level
1 edition published in 1997 in English and held by 34 WorldCat member libraries worldwide
Publisher Description (unedited publisher data) This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory. In recent years, some new and stimulating conjectures and problems have been formulated due to an influx of homotopical ideas. Examples include the LuptonOprea conjecture, the BensonGordon conjecture, both of which are in the spirit of some older and still unsolved problems (e.g. Thurston's conjecture and Sullivan's problem). Our explicit aim is to clarify the interrelations between certain aspects of symplectic geometry and homotopy theory in the framework of the problems mentioned above. We expect that the reader is aware of the basics of differential geometry and algebraic topology at graduate level
Orthogonal polynomials and special functions : Leuven 2002 by J.M Morel(
)
1 edition published in 2003 in English and held by 34 WorldCat member libraries worldwide
The set of lectures from the Summer School held in Leuven in 2002 provide an uptodate account of recent developments in orthogonal polynomials and special functions, in particular for algorithms for computer algebra packages, 3njsymbols in representation theory of Lie groups, enumeration, multivariable special functions and Dunkl operators, asymptotics via the RiemannHilbert method, exponential asymptotics and the Stokes phenomenon. The volume aims at graduate students and postdocs working in the field of orthogonal polynomials and special functions, and in related fields interacting with orthogonal polynomials, such as combinatorics, computer algebra, asymptotics, representation theory, harmonic analysis, differential equations, physics. The lectures are selfcontained requiring only a basic knowledge of analysis and algebra, and each includes many exercises
1 edition published in 2003 in English and held by 34 WorldCat member libraries worldwide
The set of lectures from the Summer School held in Leuven in 2002 provide an uptodate account of recent developments in orthogonal polynomials and special functions, in particular for algorithms for computer algebra packages, 3njsymbols in representation theory of Lie groups, enumeration, multivariable special functions and Dunkl operators, asymptotics via the RiemannHilbert method, exponential asymptotics and the Stokes phenomenon. The volume aims at graduate students and postdocs working in the field of orthogonal polynomials and special functions, and in related fields interacting with orthogonal polynomials, such as combinatorics, computer algebra, asymptotics, representation theory, harmonic analysis, differential equations, physics. The lectures are selfcontained requiring only a basic knowledge of analysis and algebra, and each includes many exercises
Modular functions of one variable VI proceedings, international conference, University of Bonn, Sonderforschungsbereich Theoretische
Mathematik, July 214, 1976 by
Jean Pierre Serre(
)
1 edition published in 1977 in English and held by 34 WorldCat member libraries worldwide
1 edition published in 1977 in English and held by 34 WorldCat member libraries worldwide
Threespace problems in Banach space theory by
Jesús M. F Castillo(
)
1 edition published in 1997 in English and held by 34 WorldCat member libraries worldwide
This book on Banach space theory focuses on what have been called threespace problems. It contains a fairly complete description of ideas, methods, results and counterexamples. It can be considered selfcontained, beyond a course in functional analysis and some familiarity with modern Banach space methods. It will be of interest to researchers for its methods and open problems, and to students for the exposition of techniques and examples
1 edition published in 1997 in English and held by 34 WorldCat member libraries worldwide
This book on Banach space theory focuses on what have been called threespace problems. It contains a fairly complete description of ideas, methods, results and counterexamples. It can be considered selfcontained, beyond a course in functional analysis and some familiarity with modern Banach space methods. It will be of interest to researchers for its methods and open problems, and to students for the exposition of techniques and examples
Projective modules and complete intersections by
Satya Mandal(
)
1 edition published in 1997 in English and held by 34 WorldCat member libraries worldwide
In these notes on "Projective Modules and Complete Intersections" an account on the recent developments in research on this subject is presented. The author's preference for the technique of Patching isotopic isomorphisms due to Quillen, formalized by Plumsted, over the techniques of elementary matrices is evident here. The treatment of Basic Element theory here incorporates Plumstead's idea of the "generalized dimension functions". These notes are highly selfcontained and should be accessible to any graduate student in commutative algebra or algebraic geometry. They include fully selfcontained presentations of the theorems of FerrandSzpiro, CowsikNori and the techniques of Lindel
1 edition published in 1997 in English and held by 34 WorldCat member libraries worldwide
In these notes on "Projective Modules and Complete Intersections" an account on the recent developments in research on this subject is presented. The author's preference for the technique of Patching isotopic isomorphisms due to Quillen, formalized by Plumsted, over the techniques of elementary matrices is evident here. The treatment of Basic Element theory here incorporates Plumstead's idea of the "generalized dimension functions". These notes are highly selfcontained and should be accessible to any graduate student in commutative algebra or algebraic geometry. They include fully selfcontained presentations of the theorems of FerrandSzpiro, CowsikNori and the techniques of Lindel
Potential theory : selected topics by
Hiroaki Aikawa(
)
1 edition published in 1996 in English and held by 34 WorldCat member libraries worldwide
The first part of these lecture notes is an introduction to potential theory to prepare the reader for later parts, which can be used as the basis for a series of advanced lectures/seminars on potential theory/harmonic analysis. Topics covered in the book include minimal thinness, quasiadditivity of capacity, applications of singular integrals to potential theory, L(p)capacity theory, fine limits of the NagelStein boundary limit theorem and integrability of superharmonic functions. The notes are written for an audience familiar with the theory of integration, distributions and basic functional analysis
1 edition published in 1996 in English and held by 34 WorldCat member libraries worldwide
The first part of these lecture notes is an introduction to potential theory to prepare the reader for later parts, which can be used as the basis for a series of advanced lectures/seminars on potential theory/harmonic analysis. Topics covered in the book include minimal thinness, quasiadditivity of capacity, applications of singular integrals to potential theory, L(p)capacity theory, fine limits of the NagelStein boundary limit theorem and integrability of superharmonic functions. The notes are written for an audience familiar with the theory of integration, distributions and basic functional analysis
Equations différentielles et systèmes de Pfaff dans le champ complexe by
Raymond Gérard(
)
1 edition published in 1979 in French and held by 26 WorldCat member libraries worldwide
1 edition published in 1979 in French and held by 26 WorldCat member libraries worldwide
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Algebra, Homological Algebraic number theory Algebraic topology Analytic functions Banach spaces Class field theory Combinatorial probabilities Complex manifolds Convergence CR submanifolds Differential equations Differential equations, NonlinearNumerical solutions Drinfeld modules Duality theory (Mathematics) Fourmanifolds (Topology) Functional analysis Function algebras Functions, Special Functions of complex variables Geometry Global analysis (Mathematics) Global differential geometry Graph coloring Group theory Homology theory Homotopy equivalences Homotopy groups Homotopy theory Hspaces Intersection theory (Mathematics) Logarithmic functions Mathematical optimization Modular functions Number theory Orthogonal polynomials Pfaffian problem Pfaffian systems Potential theory (Mathematics) Projective modules (Algebra) Random graphs Sequences (Mathematics) Spectral theory (Mathematics) Stochastic geometry Stochastic partial differential equationsNumerical solutions SturmLiouville equation Symplectic manifolds Thermodynamics Ultraproducts Uniform distribution (Probability theory) Vector bundles