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OverviewAffine 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. Full Product DetailsAuthor: Alexander SchmittPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 2010 ed. Dimensions: Width: 16.50cm , Height: 2.00cm , Length: 23.50cm Weight: 0.677kg ISBN: 9783034602877ISBN 10: 3034602871 Pages: 290 Publication Date: 22 June 2010 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsAffine 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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