Download Affine Flag Manifolds and Principal Bundles (Trends in by Alexander Schmitt PDF

By Alexander Schmitt

Affine flag manifolds are endless dimensional types of well-known items comparable to Graßmann kinds. The ebook good points lecture notes, survey articles, and learn notes - in keeping with workshops held in Berlin, Essen, and Madrid - explaining the importance of those and similar gadgets (such as double affine Hecke algebras and affine Springer fibers) in illustration conception (e.g., the idea of symmetric polynomials), mathematics geometry (e.g., the basic lemma within the Langlands program), and algebraic geometry (e.g., affine flag manifolds as parameter areas for relevant bundles). Novel elements of the idea of vital bundles on algebraic kinds also are studied within the book.

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