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

By Alexander Schmitt

Affine flag manifolds are limitless dimensional types of favourite items comparable to Graßmann kinds. The booklet positive aspects lecture notes, survey articles, and examine notes - in line 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 thought (e.g., the idea of symmetric polynomials), mathematics geometry (e.g., the elemental lemma within the Langlands program), and algebraic geometry (e.g., affine flag manifolds as parameter areas for significant bundles). Novel points of the idea of relevant bundles on algebraic kinds also are studied within the book.

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