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Affine Flag Manifolds and Principal Bundles

Affine Flag Manifolds and Principal Bundles
Catalogue Information
Field name Details
Dewey Class 516.35
Title Affine Flag Manifolds and Principal Bundles ([Ebook]) / edited by Alexander Schmitt.
Author Schmitt, Alexander
Other name(s) SpringerLink (Online service)
Publication Basel : Birkhäuser , 2010.
Physical Details xii, 289 pages : online resource.
Series Trends in mathematics
ISBN 9783034602884
Summary Note Affine flag manifolds are infinite dimensional versions of familiar objects such as GraÃmann 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.:
Contents note Affine Springer fibers and affine Deligne-Lusztig varieties -- Quantization of Hitchinâs integrable system and the geometric Langlands conjecture -- Faltingsâ 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 -- A physics perspective on geometric Langlands duality -- Unit groups of division algebras -- Double affine Hecke algebras and affine flag manifolds, I.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-3-0346-0288-4
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