Affine Flag Manifolds and Principal Bundles [recurso electrónico] / edited by Alexander Schmitt.

Por: Schmitt, Alexander [editor.]Colaborador(es): SpringerLink (Online service)Tipo de material: TextoTextoSeries Trends in MathematicsEditor: Basel : Springer Basel, 2010Descripción: online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783034602884Tema(s): Mathematics | Geometry, algebraic | Mathematics | Algebraic GeometryFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 516.35 Clasificación LoC:QA564-609Recursos en línea: Libro electrónicoTexto
Contenidos:
Affine Springer Fibers and Affine Deligne-Lusztig Varieties -- Quantization of Hitchin’s Integrable System and the Geometric Langlands Conjecture -- Faltings’ Construction of the Moduli Space of Vector Bundles on a Smooth Projective Curve -- Lectures on the Moduli Stack of Vector Bundles on a Curve -- On Moduli Stacks of G-bundles over a Curve -- Clifford Indices for Vector Bundles on Curves -- Division Algebras and Unit Groups on Surfaces -- A Physics Perspective on Geometric Langlands Duality -- Double Affine Hecke Algebras and Affine Flag Manifolds, I.
En: Springer eBooksResumen: Affine flag manifolds are infinite dimensional versions of familiar objects such as Graßmann varieties. The book features lecture notes, survey articles, and research notes - based on workshops held in Berlin, Essen, and Madrid - explaining the significance of these and related objects (such as double affine Hecke algebras and affine Springer fibers) in representation theory (e.g., the theory of symmetric polynomials), arithmetic geometry (e.g., the fundamental lemma in the Langlands program), and algebraic geometry (e.g., affine flag manifolds as parameter spaces for principal bundles). Novel aspects of the theory of principal bundles on algebraic varieties are also studied in the book.
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Tipo de ítem Biblioteca actual Colección Signatura Copia número Estado Fecha de vencimiento Código de barras
Libro Electrónico Biblioteca Electrónica
Colección de Libros Electrónicos QA564 -609 (Browse shelf(Abre debajo)) 1 No para préstamo 373012-2001

Affine Springer Fibers and Affine Deligne-Lusztig Varieties -- Quantization of Hitchin’s Integrable System and the Geometric Langlands Conjecture -- Faltings’ Construction of the Moduli Space of Vector Bundles on a Smooth Projective Curve -- Lectures on the Moduli Stack of Vector Bundles on a Curve -- On Moduli Stacks of G-bundles over a Curve -- Clifford Indices for Vector Bundles on Curves -- Division Algebras and Unit Groups on Surfaces -- A Physics Perspective on Geometric Langlands Duality -- Double Affine Hecke Algebras and Affine Flag Manifolds, I.

Affine flag manifolds are infinite dimensional versions of familiar objects such as Graßmann varieties. The book features lecture notes, survey articles, and research notes - based on workshops held in Berlin, Essen, and Madrid - explaining the significance of these and related objects (such as double affine Hecke algebras and affine Springer fibers) in representation theory (e.g., the theory of symmetric polynomials), arithmetic geometry (e.g., the fundamental lemma in the Langlands program), and algebraic geometry (e.g., affine flag manifolds as parameter spaces for principal bundles). Novel aspects of the theory of principal bundles on algebraic varieties are also studied in the book.

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