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Refinar búsquedaAlgebra, Arithmetic, and Geometry / SpringerLink (Online service) ; Yuri Tschinkel ; Yuri Zarhin (2009)
Título : Algebra, Arithmetic, and Geometry : Volume I: In Honor of Yu. I. Manin Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Yuri Tschinkel ; Yuri Zarhin Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2009 Colección: Progress in Mathematics num. 269 Número de páginas: XXXIV, 698 p. 41 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4745-2 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Algebraic geometry Geometry Number theory Physics Theory Mathematical Methods in Clasificación: 51 Matemáticas Resumen: Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics. Contributors in the first volume include: K. Behrend, V.G. Berkovich, J.-B. Bost, P. Bressler, D. Calaque, J.F. Carlson, A. Chambert-Loir, E. Colombo, A. Connes, C. Consani, A. Da?browski, C. Deninger, I.V. Dolgachev, S.K. Donaldson, T. Ekedahl, A.-S. Elsenhans, B. Enriquez, P. Etingof, B. Fantechi, V.V. Fock, E.M. Friedlander, B. van Geemen, G. van der Geer, E. Getzler, A.B. Goncharov, V.A. Iskovskikh, J. Jahnel, M. Kapranov, E. Looijenga, M. Marcolli, B. Tsygan, E. Vasserot, M. Wodzicki Nota de contenido: Preface -- Introduction -- K. Behrend, B. Fantecci, Gerstenhaber and Batalin-Vilkovisky structures on Lagrangian intersections -- V. Berkovich, A non-Archimedean interpretation of the weight zero subspaces of limit mixed Hodge structures -- J.-B. Bost, A. Chambert-Loir, Analytic curves in algebraic varieties over number fields -- P. Bressler, M. Kapranov, B. Tsygan, E. Vasserot, Riemann-Roch for real varieties -- E. Colombo, B. van Geemen, E. Looijenga, Del Pezzo moduli via root systems -- A. Connes, C. Consani, M. Marcolli, The Weil proof and the geometry of the adeles class space -- A. Dabrowski, M. Wodzicki, Elliptic curves with large analytic III(E) -- C. Deninger, p-adic entropy and a p-adic Fuglede - Kadison determinant -- S. Donaldson, Lie algebra theory without algebra -- T. Ekedahl, G. van der Geer, Cycle classes of the E-O stratification on the moduli of abelian varieties -- A.-S. Elsenhans, J. Jahnel, Experiments with general cubic surfaces -- V.V. Fock, A. Goncharov, Cluster ensembles, quantization and the dilogarithm II: The intertwiner -- E. Getzler, Operads revisited -- M. Harris, Potential automorphy of odd-dimensional symmetric powers of elliptic curves, and applications -- D. Kaledin, Cyclic homology with coefficients -- M. Kapranov, Noncommutative geometry and path integrals -- N. Katz, Another look at the Dwork family -- R. Kaufmann, Graphs, strings and actions -- J. Kollár, M. Larsen, Quotients of Calabi-Yau varieties -- M. Kontsevich, Notes on motives in finite characteristic -- L. Merel, Symboles de Manin et valeurs de fonctions L.-M. Markl, A. Voronov, PROPped up graph cohomology -- S. Merkulov, Graph complexes with loops and wheels -- M. Movshev, Yang-Mills theory and a superquadric -- E. Mukhin, V. Tarasov, A. Varchenko, A generalization of the Capelli identity -- J. Nekovar, Hidden symmetries of the theory of complex multiplication -- V. Nikulin, Correspondences of a K3 surface with itself via moduli of sheaves, I.-O. Ogievetsky, V. Schechtman, Uneintersection des quadriques liée à la suite de Sturm -- F. Oort, Foliations in moduli spaces of abelian varieties and dimension of leaves -- D. Orlov, Derived categories of coherent sheaves and triangulated categories of singularities -- A. Panchishkin, K. Vankov, Rankin's lemma of higher genus and explicit formulas for Hecke operators -- A. Polishchuk, Massey products on cycles of projective lines and trigonometric solutions of the Yang-Baxter equations -- A. Vishik, Fields of $u$-invariant $2^r+1$ -- Y. Zarhin, Cubic surfaces and cubic threefolds, jacobians and intermediate jacobians -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-4745-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33942 Algebra, Arithmetic, and Geometry : Volume I: In Honor of Yu. I. Manin [documento electrónico] / SpringerLink (Online service) ; Yuri Tschinkel ; Yuri Zarhin . - Boston : Birkhäuser Boston, 2009 . - XXXIV, 698 p. 41 illus : online resource. - (Progress in Mathematics; 269) .
ISBN : 978-0-8176-4745-2
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Algebraic geometry Geometry Number theory Physics Theory Mathematical Methods in Clasificación: 51 Matemáticas Resumen: Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics. Contributors in the first volume include: K. Behrend, V.G. Berkovich, J.-B. Bost, P. Bressler, D. Calaque, J.F. Carlson, A. Chambert-Loir, E. Colombo, A. Connes, C. Consani, A. Da?browski, C. Deninger, I.V. Dolgachev, S.K. Donaldson, T. Ekedahl, A.-S. Elsenhans, B. Enriquez, P. Etingof, B. Fantechi, V.V. Fock, E.M. Friedlander, B. van Geemen, G. van der Geer, E. Getzler, A.B. Goncharov, V.A. Iskovskikh, J. Jahnel, M. Kapranov, E. Looijenga, M. Marcolli, B. Tsygan, E. Vasserot, M. Wodzicki Nota de contenido: Preface -- Introduction -- K. Behrend, B. Fantecci, Gerstenhaber and Batalin-Vilkovisky structures on Lagrangian intersections -- V. Berkovich, A non-Archimedean interpretation of the weight zero subspaces of limit mixed Hodge structures -- J.-B. Bost, A. Chambert-Loir, Analytic curves in algebraic varieties over number fields -- P. Bressler, M. Kapranov, B. Tsygan, E. Vasserot, Riemann-Roch for real varieties -- E. Colombo, B. van Geemen, E. Looijenga, Del Pezzo moduli via root systems -- A. Connes, C. Consani, M. Marcolli, The Weil proof and the geometry of the adeles class space -- A. Dabrowski, M. Wodzicki, Elliptic curves with large analytic III(E) -- C. Deninger, p-adic entropy and a p-adic Fuglede - Kadison determinant -- S. Donaldson, Lie algebra theory without algebra -- T. Ekedahl, G. van der Geer, Cycle classes of the E-O stratification on the moduli of abelian varieties -- A.-S. Elsenhans, J. Jahnel, Experiments with general cubic surfaces -- V.V. Fock, A. Goncharov, Cluster ensembles, quantization and the dilogarithm II: The intertwiner -- E. Getzler, Operads revisited -- M. Harris, Potential automorphy of odd-dimensional symmetric powers of elliptic curves, and applications -- D. Kaledin, Cyclic homology with coefficients -- M. Kapranov, Noncommutative geometry and path integrals -- N. Katz, Another look at the Dwork family -- R. Kaufmann, Graphs, strings and actions -- J. Kollár, M. Larsen, Quotients of Calabi-Yau varieties -- M. Kontsevich, Notes on motives in finite characteristic -- L. Merel, Symboles de Manin et valeurs de fonctions L.-M. Markl, A. Voronov, PROPped up graph cohomology -- S. Merkulov, Graph complexes with loops and wheels -- M. Movshev, Yang-Mills theory and a superquadric -- E. Mukhin, V. Tarasov, A. Varchenko, A generalization of the Capelli identity -- J. Nekovar, Hidden symmetries of the theory of complex multiplication -- V. Nikulin, Correspondences of a K3 surface with itself via moduli of sheaves, I.-O. Ogievetsky, V. Schechtman, Uneintersection des quadriques liée à la suite de Sturm -- F. Oort, Foliations in moduli spaces of abelian varieties and dimension of leaves -- D. Orlov, Derived categories of coherent sheaves and triangulated categories of singularities -- A. Panchishkin, K. Vankov, Rankin's lemma of higher genus and explicit formulas for Hecke operators -- A. Polishchuk, Massey products on cycles of projective lines and trigonometric solutions of the Yang-Baxter equations -- A. Vishik, Fields of $u$-invariant $2^r+1$ -- Y. Zarhin, Cubic surfaces and cubic threefolds, jacobians and intermediate jacobians -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-4745-2 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33942 Ejemplares
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Título : Algebra, Arithmetic, and Geometry : Volume II: In Honor of Yu. I. Manin Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Yuri Tschinkel ; Yuri Zarhin Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2009 Colección: Progress in Mathematics num. 270 Número de páginas: XII, 704 p. 15 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4747-6 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Algebraic geometry Geometry Clasificación: 51 Matemáticas Resumen: Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics. Contributors in the second volume: M. Harris, D. Kaledin, M. Kapranov, N.M. Katz, R.M. Kaufmann, J. Kollár, M. Kontsevich, M. Larsen, M. Markl, L. Merel, S.A. Merkulov, M.V. Movshev, E. Mukhin, J. Nekovár, V.V. Nikulin, O. Ogievetsky, F. Oort, D. Orlov, A. Panchishkin, I. Penkov, A. Polishchuk, P. Sarnak, V. Schechtman, V. Tarasov, A.S. Tikhomirov, J. Tsimerman, K. Vankov, A. Varchenko, A. Vishik, A.A. Voronov, Yu. Zarhin, Th. Zink Nota de contenido: Potential Automorphy of Odd-Dimensional Symmetric Powers of Elliptic Curves and Applications -- Cyclic Homology with Coefficients -- Noncommutative Geometry and Path Integrals -- Another Look at the Dwork Family -- Graphs, Strings, and Actions -- Quotients of Calabi–Yau Varieties -- Notes on Motives in Finite Characteristic -- PROPped-Up Graph Cohomology -- Symboles de Manin et valeurs de fonctions L -- Graph Complexes with Loops and Wheels -- Yang–Mills Theory and a Superquadric -- A Generalization of the Capelli Identity -- Hidden Symmetries in the Theory of Complex Multiplication -- Self-Correspondences of K3 Surfaces via Moduli of Sheaves -- Foliations in Moduli Spaces of Abelian Varieties and Dimension of Leaves -- Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities -- Rankin’s Lemma of Higher Genus and Explicit Formulas for Hecke Operators -- Rank-2 Vector Bundles on ind-Grassmannians -- Massey Products on Cycles of Projective Lines and Trigonometric Solutions of the Yang–Baxter Equations -- On Linnik and Selberg’s Conjecture About Sums of Kloosterman Sums -- Une Algèbre Quadratique Liée à la Suite de Sturm -- Fields of u-Invariant 2r + 1 -- Cubic Surfaces and Cubic Threefolds, Jacobians and Intermediate Jacobians -- De Jong-Oort Purity for p-Divisible Groups En línea: http://dx.doi.org/10.1007/978-0-8176-4747-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33943 Algebra, Arithmetic, and Geometry : Volume II: In Honor of Yu. I. Manin [documento electrónico] / SpringerLink (Online service) ; Yuri Tschinkel ; Yuri Zarhin . - Boston : Birkhäuser Boston, 2009 . - XII, 704 p. 15 illus : online resource. - (Progress in Mathematics; 270) .
ISBN : 978-0-8176-4747-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Algebraic geometry Geometry Clasificación: 51 Matemáticas Resumen: Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics. Contributors in the second volume: M. Harris, D. Kaledin, M. Kapranov, N.M. Katz, R.M. Kaufmann, J. Kollár, M. Kontsevich, M. Larsen, M. Markl, L. Merel, S.A. Merkulov, M.V. Movshev, E. Mukhin, J. Nekovár, V.V. Nikulin, O. Ogievetsky, F. Oort, D. Orlov, A. Panchishkin, I. Penkov, A. Polishchuk, P. Sarnak, V. Schechtman, V. Tarasov, A.S. Tikhomirov, J. Tsimerman, K. Vankov, A. Varchenko, A. Vishik, A.A. Voronov, Yu. Zarhin, Th. Zink Nota de contenido: Potential Automorphy of Odd-Dimensional Symmetric Powers of Elliptic Curves and Applications -- Cyclic Homology with Coefficients -- Noncommutative Geometry and Path Integrals -- Another Look at the Dwork Family -- Graphs, Strings, and Actions -- Quotients of Calabi–Yau Varieties -- Notes on Motives in Finite Characteristic -- PROPped-Up Graph Cohomology -- Symboles de Manin et valeurs de fonctions L -- Graph Complexes with Loops and Wheels -- Yang–Mills Theory and a Superquadric -- A Generalization of the Capelli Identity -- Hidden Symmetries in the Theory of Complex Multiplication -- Self-Correspondences of K3 Surfaces via Moduli of Sheaves -- Foliations in Moduli Spaces of Abelian Varieties and Dimension of Leaves -- Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities -- Rankin’s Lemma of Higher Genus and Explicit Formulas for Hecke Operators -- Rank-2 Vector Bundles on ind-Grassmannians -- Massey Products on Cycles of Projective Lines and Trigonometric Solutions of the Yang–Baxter Equations -- On Linnik and Selberg’s Conjecture About Sums of Kloosterman Sums -- Une Algèbre Quadratique Liée à la Suite de Sturm -- Fields of u-Invariant 2r + 1 -- Cubic Surfaces and Cubic Threefolds, Jacobians and Intermediate Jacobians -- De Jong-Oort Purity for p-Divisible Groups En línea: http://dx.doi.org/10.1007/978-0-8176-4747-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33943 Ejemplares
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Título : Cohomological and Geometric Approaches to Rationality Problems : New Perspectives Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Fedor Bogomolov ; Yuri Tschinkel Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2010 Colección: Progress in Mathematics num. 282 Número de páginas: X, 314 p. 47 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4934-0 Idioma : Inglés (eng) Palabras clave: Mathematics Algebraic geometry Group theory Topological groups Lie Geometry Theory and Generalizations Groups, Groups Clasificación: 51 Matemáticas Resumen: Rationality problems link algebra to geometry. The difficulties involved depend on the transcendence degree over the ground field, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of characteristic zero. These advances have led to many interdisciplinary applications of algebraic geometry. This comprehensive text consists of surveys and research papers by leading specialists in the field. Topics discussed include the rationality of quotient spaces, cohomological invariants of finite groups of Lie type, rationality of moduli spaces of curves, and rational points on algebraic varieties. This volume is intended for research mathematicians and graduate students interested in algebraic geometry, and specifically in rationality problems. I. Bauer C. Böhning F. Bogomolov F. Catanese I. Cheltsov N. Hoffmann S.-J. Hu M.-C. Kang L. Katzarkov B. Kunyavskii A. Kuznetsov J. Park T. Petrov Yu. G. Prokhorov A.V. Pukhlikov Yu. Tschinkel Nota de contenido: The Rationality of Certain Moduli Spaces of Curves of Genus 3 -- The Rationality of the Moduli Space of Curves of Genus 3 after P. Katsylo -- Unramified Cohomology of Finite Groups of Lie Type -- Sextic Double Solids -- Moduli Stacks of Vector Bundles on Curves and the King#x2013;Schofield Rationality Proof -- Noether#x2019;s Problem for Some -Groups -- Generalized Homological Mirror Symmetry and Rationality Questions -- The Bogomolov Multiplier of Finite Simple Groups -- Derived Categories of Cubic Fourfolds -- Fields of Invariants of Finite Linear Groups -- The Rationality Problem and Birational Rigidity En línea: http://dx.doi.org/10.1007/978-0-8176-4934-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33555 Cohomological and Geometric Approaches to Rationality Problems : New Perspectives [documento electrónico] / SpringerLink (Online service) ; Fedor Bogomolov ; Yuri Tschinkel . - Boston : Birkhäuser Boston, 2010 . - X, 314 p. 47 illus : online resource. - (Progress in Mathematics; 282) .
ISBN : 978-0-8176-4934-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebraic geometry Group theory Topological groups Lie Geometry Theory and Generalizations Groups, Groups Clasificación: 51 Matemáticas Resumen: Rationality problems link algebra to geometry. The difficulties involved depend on the transcendence degree over the ground field, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of characteristic zero. These advances have led to many interdisciplinary applications of algebraic geometry. This comprehensive text consists of surveys and research papers by leading specialists in the field. Topics discussed include the rationality of quotient spaces, cohomological invariants of finite groups of Lie type, rationality of moduli spaces of curves, and rational points on algebraic varieties. This volume is intended for research mathematicians and graduate students interested in algebraic geometry, and specifically in rationality problems. I. Bauer C. Böhning F. Bogomolov F. Catanese I. Cheltsov N. Hoffmann S.-J. Hu M.-C. Kang L. Katzarkov B. Kunyavskii A. Kuznetsov J. Park T. Petrov Yu. G. Prokhorov A.V. Pukhlikov Yu. Tschinkel Nota de contenido: The Rationality of Certain Moduli Spaces of Curves of Genus 3 -- The Rationality of the Moduli Space of Curves of Genus 3 after P. Katsylo -- Unramified Cohomology of Finite Groups of Lie Type -- Sextic Double Solids -- Moduli Stacks of Vector Bundles on Curves and the King#x2013;Schofield Rationality Proof -- Noether#x2019;s Problem for Some -Groups -- Generalized Homological Mirror Symmetry and Rationality Questions -- The Bogomolov Multiplier of Finite Simple Groups -- Derived Categories of Cubic Fourfolds -- Fields of Invariants of Finite Linear Groups -- The Rationality Problem and Birational Rigidity En línea: http://dx.doi.org/10.1007/978-0-8176-4934-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33555 Ejemplares
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Título : Developments and Trends in Infinite-Dimensional Lie Theory Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Karl-Hermann Neeb ; Arturo Pianzola Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2011 Colección: Progress in Mathematics num. 288 Número de páginas: VIII, 492 p. 9 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4741-4 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Algebraic geometry Group theory Topological groups Lie Geometry Groups, Groups Theory and Generalizations Clasificación: 51 Matemáticas Resumen: This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional Lie (transformation) groups, and representation theory of infinite-dimensional Lie groups. Part (A) is mainly concerned with the structure and representation theory of infinite-dimensional Lie algebras and contains articles on the structure of direct-limit Lie algebras, extended affine Lie algebras and loop algebras, as well as representations of loop algebras and Kac–Moody superalgebras. The articles in Part (B) examine connections between infinite-dimensional Lie theory and geometry. The topics range from infinite-dimensional groups acting on fiber bundles, corresponding characteristic classes and gerbes, to Jordan-theoretic geometries and new results on direct-limit groups. The analytic representation theory of infinite-dimensional Lie groups is still very much underdeveloped. The articles in Part (C) develop new, promising methods based on heat kernels, multiplicity freeness, Banach–Lie–Poisson spaces, and infinite-dimensional generalizations of reductive Lie groups. Contributors: B. Allison, D. Beltita, W. Bertram, J. Faulkner, Ph. Gille, H. Glöckner, K.-H. Neeb, E. Neher, I. Penkov, A. Pianzola, D. Pickrell, T.S. Ratiu, N.R. Scheithauer, C. Schweigert, V. Serganova, K. Styrkas, K. Waldorf, and J.A. Wolf Nota de contenido: Preface -- Part A: Infinite-Dimensional Lie (Super-)Algebras -- Isotopy for Extended Affine Lie Algebras and Lie Tori -- Remarks on the Isotriviality of Multiloop Algebras -- Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey -- Tensor Representations of Classical Locally Finite Lie Algebras -- Lie Algebras, Vertex Algebras, and Automorphic Forms -- Kac–Moody Superalgebras and Integrability -- Part B: Geometry of Infinite-Dimensional Lie (Transformation) Groups -- Jordan Structures and Non-Associative Geometry -- Direct Limits of Infinite-Dimensional Lie Groups -- Lie Groups of Bundle Automorphisms and Their Extensions -- Gerbes and Lie Groups -- Part C: Representation Theory of Infinite-Dimensional Lie Groups Functional Analytic Background for a Theory of Infinite- Dimensional Reductive Lie Groups -- Heat Kernel Measures and Critical Limits -- Coadjoint Orbits and the Beginnings of a Geometric Representation Theory -- Infinite-Dimensional Multiplicity-Free Spaces I: Limits of Compact Commutative Spaces -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-4741-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33092 Developments and Trends in Infinite-Dimensional Lie Theory [documento electrónico] / SpringerLink (Online service) ; Karl-Hermann Neeb ; Arturo Pianzola . - Boston : Birkhäuser Boston, 2011 . - VIII, 492 p. 9 illus : online resource. - (Progress in Mathematics; 288) .
ISBN : 978-0-8176-4741-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Algebraic geometry Group theory Topological groups Lie Geometry Groups, Groups Theory and Generalizations Clasificación: 51 Matemáticas Resumen: This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional Lie (transformation) groups, and representation theory of infinite-dimensional Lie groups. Part (A) is mainly concerned with the structure and representation theory of infinite-dimensional Lie algebras and contains articles on the structure of direct-limit Lie algebras, extended affine Lie algebras and loop algebras, as well as representations of loop algebras and Kac–Moody superalgebras. The articles in Part (B) examine connections between infinite-dimensional Lie theory and geometry. The topics range from infinite-dimensional groups acting on fiber bundles, corresponding characteristic classes and gerbes, to Jordan-theoretic geometries and new results on direct-limit groups. The analytic representation theory of infinite-dimensional Lie groups is still very much underdeveloped. The articles in Part (C) develop new, promising methods based on heat kernels, multiplicity freeness, Banach–Lie–Poisson spaces, and infinite-dimensional generalizations of reductive Lie groups. Contributors: B. Allison, D. Beltita, W. Bertram, J. Faulkner, Ph. Gille, H. Glöckner, K.-H. Neeb, E. Neher, I. Penkov, A. Pianzola, D. Pickrell, T.S. Ratiu, N.R. Scheithauer, C. Schweigert, V. Serganova, K. Styrkas, K. Waldorf, and J.A. Wolf Nota de contenido: Preface -- Part A: Infinite-Dimensional Lie (Super-)Algebras -- Isotopy for Extended Affine Lie Algebras and Lie Tori -- Remarks on the Isotriviality of Multiloop Algebras -- Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey -- Tensor Representations of Classical Locally Finite Lie Algebras -- Lie Algebras, Vertex Algebras, and Automorphic Forms -- Kac–Moody Superalgebras and Integrability -- Part B: Geometry of Infinite-Dimensional Lie (Transformation) Groups -- Jordan Structures and Non-Associative Geometry -- Direct Limits of Infinite-Dimensional Lie Groups -- Lie Groups of Bundle Automorphisms and Their Extensions -- Gerbes and Lie Groups -- Part C: Representation Theory of Infinite-Dimensional Lie Groups Functional Analytic Background for a Theory of Infinite- Dimensional Reductive Lie Groups -- Heat Kernel Measures and Critical Limits -- Coadjoint Orbits and the Beginnings of a Geometric Representation Theory -- Infinite-Dimensional Multiplicity-Free Spaces I: Limits of Compact Commutative Spaces -- Index En línea: http://dx.doi.org/10.1007/978-0-8176-4741-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33092 Ejemplares
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Título : Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics Tipo de documento: documento electrónico Autores: Claudio Bartocci ; SpringerLink (Online service) ; Ugo Bruzzo ; Daniel Hernández Ruipérez Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2009 Colección: Progress in Mathematics num. 276 Número de páginas: XVI, 418 p. 83 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4663-9 Idioma : Inglés (eng) Palabras clave: Physics Algebraic geometry Partial differential equations Differential Physics, general Geometry Equations Theoretical, Mathematical and Computational Clasificación: 51 Matemáticas Resumen: 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 Nota de contenido: Integral functors -- Fourier-Mukai functors -- Fourier-Mukai on Abelian varieties -- Fourier-Mukai on K3 surfaces -- Nahm transforms -- Relative Fourier-Mukai functors -- Fourier-Mukai partners and birational geometry -- Derived and triangulated categories -- Lattices -- Miscellaneous results -- Stability conditions for derived categories En línea: http://dx.doi.org/10.1007/b11801 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33938 Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics [documento electrónico] / Claudio Bartocci ; SpringerLink (Online service) ; Ugo Bruzzo ; Daniel Hernández Ruipérez . - Boston : Birkhäuser Boston, 2009 . - XVI, 418 p. 83 illus : online resource. - (Progress in Mathematics; 276) .
ISBN : 978-0-8176-4663-9
Idioma : Inglés (eng)
Palabras clave: Physics Algebraic geometry Partial differential equations Differential Physics, general Geometry Equations Theoretical, Mathematical and Computational Clasificación: 51 Matemáticas Resumen: 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 Nota de contenido: Integral functors -- Fourier-Mukai functors -- Fourier-Mukai on Abelian varieties -- Fourier-Mukai on K3 surfaces -- Nahm transforms -- Relative Fourier-Mukai functors -- Fourier-Mukai partners and birational geometry -- Derived and triangulated categories -- Lattices -- Miscellaneous results -- Stability conditions for derived categories En línea: http://dx.doi.org/10.1007/b11801 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33938 Ejemplares
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