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

By Alexander Schmitt

Affine flag manifolds are endless dimensional models of conventional items equivalent to Graßmann forms. The booklet positive aspects lecture notes, survey articles, and examine notes - in accordance with 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 basic lemma within the Langlands program), and algebraic geometry (e.g., affine flag manifolds as parameter areas for significant bundles). Novel elements of the idea of relevant bundles on algebraic forms also are studied within the book.

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