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Autor Ginzburg, Victor |
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Título : Algebraic Geometry and Number Theory : In Honor of Vladimir Drinfeld’s 50th Birthday Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Ginzburg, Victor Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2006 Colección: Progress in Mathematics num. 253 Número de páginas: XX, 644 p. 19 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4532-8 Idioma : Inglés (eng) Palabras clave: Mathematics Algebraic geometry Group theory Nonassociative rings Rings (Algebra) Special functions Number Physics Theory Geometry Mathematical Methods in Non-associative and Algebras Generalizations Functions Clasificación: 51 Matemáticas Resumen: One of the most creative mathematicians of our times, Vladimir Drinfeld received the Fields Medal in 1990 for his groundbreaking contributions to the Langlands program and to the theory of quantum groups. These ten original articles by prominent mathematicians, dedicated to Drinfeld on the occasion of his 50th birthday, broadly reflect the range of Drinfeld's own interests in algebra, algebraic geometry, and number theory. Contributors: A. Eskin, V.V. Fock, E. Frenkel, D. Gaitsgory, V. Ginzburg, A.B. Goncharov, E. Hrushovski, Y. Ihara, D. Kazhdan, M. Kisin, I. Krichever, G. Laumon, Yu.I. Manin, A. Okounkov, V. Schechtman, and M.A. Tsfasman Nota de contenido: Pillowcases and quasimodular forms -- Cluster ?-varieties, amalgamation, and Poisson—Lie groups -- Local geometric Langlands correspondence and affine Kac-Moody algebras -- Integration in valued fields -- On the Euler-Kronecker constants of global fields and primes with small norms -- Asymptotic behaviour of the Euler-Kronecker constant -- Crystalline representations and F-crystals -- Integrable linear equations and the Riemann-Schottky problem -- Fibres de Springer et jacobiennes compactifiées -- Iterated integrals of modular forms and noncommutative modular symbols -- Structures membranaires En línea: http://dx.doi.org/10.1007/978-0-8176-4532-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34883 Algebraic Geometry and Number Theory : In Honor of Vladimir Drinfeld’s 50th Birthday [documento electrónico] / SpringerLink (Online service) ; Ginzburg, Victor . - Boston, MA : Birkhäuser Boston, 2006 . - XX, 644 p. 19 illus : online resource. - (Progress in Mathematics; 253) .
ISBN : 978-0-8176-4532-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebraic geometry Group theory Nonassociative rings Rings (Algebra) Special functions Number Physics Theory Geometry Mathematical Methods in Non-associative and Algebras Generalizations Functions Clasificación: 51 Matemáticas Resumen: One of the most creative mathematicians of our times, Vladimir Drinfeld received the Fields Medal in 1990 for his groundbreaking contributions to the Langlands program and to the theory of quantum groups. These ten original articles by prominent mathematicians, dedicated to Drinfeld on the occasion of his 50th birthday, broadly reflect the range of Drinfeld's own interests in algebra, algebraic geometry, and number theory. Contributors: A. Eskin, V.V. Fock, E. Frenkel, D. Gaitsgory, V. Ginzburg, A.B. Goncharov, E. Hrushovski, Y. Ihara, D. Kazhdan, M. Kisin, I. Krichever, G. Laumon, Yu.I. Manin, A. Okounkov, V. Schechtman, and M.A. Tsfasman Nota de contenido: Pillowcases and quasimodular forms -- Cluster ?-varieties, amalgamation, and Poisson—Lie groups -- Local geometric Langlands correspondence and affine Kac-Moody algebras -- Integration in valued fields -- On the Euler-Kronecker constants of global fields and primes with small norms -- Asymptotic behaviour of the Euler-Kronecker constant -- Crystalline representations and F-crystals -- Integrable linear equations and the Riemann-Schottky problem -- Fibres de Springer et jacobiennes compactifiées -- Iterated integrals of modular forms and noncommutative modular symbols -- Structures membranaires En línea: http://dx.doi.org/10.1007/978-0-8176-4532-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34883 Ejemplares
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Título : Representation Theory and Complex Geometry Tipo de documento: documento electrónico Autores: Chriss, Neil ; SpringerLink (Online service) ; Ginzburg, Victor Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2010 Colección: Modern Birkhäuser Classics Número de páginas: X, 495 p. 5 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4938-8 Idioma : Inglés (eng) Palabras clave: Mathematics Algebraic geometry Topological groups Lie Manifolds (Mathematics) Complex manifolds Physics Groups, Groups Geometry and Cell Complexes (incl. Diff.Topology) Theoretical, Mathematical Computational Clasificación: 51 Matemáticas Resumen: This classic monograph provides an overview of modern advances in representation theory from a geometric standpoint. A geometrically-oriented treatment of the subject is very timely and has long been desired, especially since the discovery of D-modules in the early 1980s and the quiver approach to quantum groups in the early 1990s. The techniques developed are quite general and can be successfully applied to other areas such as quantum groups, affine Lie groups, and quantum field theory. The first half of the book fills the gap between the standard knowledge of a beginner in Lie theory and the much wider background needed by the working mathematician. The book is largely self-contained. . . . There is a nice introduction to symplectic geometry and a charming exposition of equivariant K-theory. Both are enlivened by examples related to groups. . . . An attractive feature is the attempt to convey some informal 'wisdom' rather than only the precise definitions. As a number of results is due to the authors, one finds some of the original excitement. This is the only available introduction to geometric representation theory. . . it has already proved successful in introducing a new generation to the subject. --- Bulletin of the American Mathematical Society The authors have tried to help readers by adopting an informal and easily accessible style. . . . The book will provide a guide to those who wish to penetrate into subject-matter which, so far, was only accessible in difficult papers. . . . The book is quite suitable as a basis for an advanced course or a seminar, devoted to the material of one of the chapters of the book. --- Mededelingen van het Wiskundig Genootschap Represents an important and very interesting addition to the literature. --- Mathematical Reviews Nota de contenido: Symplectic Geometry -- Mosaic -- Complex Semisimple Groups -- Springer Theory for (sl) -- Equivariant K-Theory -- Flag Varieties, K-Theory, and Harmonic Polynomials -- Hecke Algebras and K#x2013;Theory -- Representations of Convolution Algebras En línea: http://dx.doi.org/10.1007/978-0-8176-4938-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33556 Representation Theory and Complex Geometry [documento electrónico] / Chriss, Neil ; SpringerLink (Online service) ; Ginzburg, Victor . - Boston : Birkhäuser Boston, 2010 . - X, 495 p. 5 illus : online resource. - (Modern Birkhäuser Classics) .
ISBN : 978-0-8176-4938-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebraic geometry Topological groups Lie Manifolds (Mathematics) Complex manifolds Physics Groups, Groups Geometry and Cell Complexes (incl. Diff.Topology) Theoretical, Mathematical Computational Clasificación: 51 Matemáticas Resumen: This classic monograph provides an overview of modern advances in representation theory from a geometric standpoint. A geometrically-oriented treatment of the subject is very timely and has long been desired, especially since the discovery of D-modules in the early 1980s and the quiver approach to quantum groups in the early 1990s. The techniques developed are quite general and can be successfully applied to other areas such as quantum groups, affine Lie groups, and quantum field theory. The first half of the book fills the gap between the standard knowledge of a beginner in Lie theory and the much wider background needed by the working mathematician. The book is largely self-contained. . . . There is a nice introduction to symplectic geometry and a charming exposition of equivariant K-theory. Both are enlivened by examples related to groups. . . . An attractive feature is the attempt to convey some informal 'wisdom' rather than only the precise definitions. As a number of results is due to the authors, one finds some of the original excitement. This is the only available introduction to geometric representation theory. . . it has already proved successful in introducing a new generation to the subject. --- Bulletin of the American Mathematical Society The authors have tried to help readers by adopting an informal and easily accessible style. . . . The book will provide a guide to those who wish to penetrate into subject-matter which, so far, was only accessible in difficult papers. . . . The book is quite suitable as a basis for an advanced course or a seminar, devoted to the material of one of the chapters of the book. --- Mededelingen van het Wiskundig Genootschap Represents an important and very interesting addition to the literature. --- Mathematical Reviews Nota de contenido: Symplectic Geometry -- Mosaic -- Complex Semisimple Groups -- Springer Theory for (sl) -- Equivariant K-Theory -- Flag Varieties, K-Theory, and Harmonic Polynomials -- Hecke Algebras and K#x2013;Theory -- Representations of Convolution Algebras En línea: http://dx.doi.org/10.1007/978-0-8176-4938-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33556 Ejemplares
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