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Affine Flag Manifolds and Principal Bundles
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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
Links to Related Works
Subject References:
Algebraic Geometry
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Fiber spaces (Mathematics)
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Flag manifolds
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Geometry, Algebraic
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Authors:
Schmitt, Alexander
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Corporate Authors:
SpringerLink (Online service)
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Series:
Trends in mathematics
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Classification:
516.35
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516.35 (DDC 23)
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