TY - GEN TY - GEN T1 - Affine Flag Manifolds and Principal Bundles T2 - Trends in Mathematics, A2 - Schmitt, Alexander. A2 - Schmitt, Alexander. LA - English PP - Basel PB - Springer Basel : Imprint: Birkhäuser YR - 2010 ED - 1st ed. 2010. UL - http://discoverylib.upm.edu.my/discovery/Record/978-3-0346-0288-4 AB - Affine flag manifolds are infinite dimensional versions of familiar objects such as Graßmann 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. OP - 290 CN - QA564-609 SN - 9783034602884 KW - Algebraic geometry. KW - Algebraic Geometry. ER -