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Affine Flag Manifolds and Principal Bundles, PDF eBook

Affine Flag Manifolds and Principal Bundles PDF

Edited by Alexander Schmitt

Part of the Trends in Mathematics series

PDF

Please note: eBooks can only be purchased with a UK issued credit card and all our eBooks (ePub and PDF) are DRM protected.

Description

Affine flag manifolds are infinite dimensional versions of familiar objects such as Gramann 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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