By Alexander Schmitt

Affine flag manifolds are endless dimensional types of general gadgets corresponding to Graßmann forms. The booklet beneficial properties lecture notes, survey articles, and examine notes - according to workshops held in Berlin, Essen, and Madrid - explaining the importance of those and comparable 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 elemental lemma within the Langlands program), and algebraic geometry (e.g., affine flag manifolds as parameter areas for vital bundles). Novel points of the idea of critical bundles on algebraic types also are studied within the book.

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Affine Flag Manifolds and Principal Bundles (Trends in Mathematics) by Alexander Schmitt

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