Affine Flag Manifolds and Principal Bundles [recurso electrónico] / edited by Alexander Schmitt.
Tipo de material: TextoSeries 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 electrónicoTipo 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 |
Navegando Biblioteca Electrónica Estantes, Código de colección: Colección de Libros Electrónicos Cerrar el navegador de estanterías (Oculta el navegador de estanterías)
QA564 -609 Discrete Integrable Systems | QA564 -609 Liaison, Schottky Problem and Invariant Theory | QA564 -609 Arrangements, Local Systems and Singularities | QA564 -609 Affine Flag Manifolds and Principal Bundles | QA564 -609 Classification of Higher Dimensional Algebraic Varieties | QA564 -609 Poncelet Porisms and Beyond | QA564 -609 Approximate Commutative Algebra |
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.
19