TY - BOOK ID - 8132753 TI - Affine flag manifolds and principal bundles PY - 2010 SN - 3034602871 9786613076212 303460288X 1283076217 PB - Boston, Mass. : Springer Basel AG, DB - UniCat KW - Geometry. KW - Mathematics. KW - Flag manifolds KW - Mathematics KW - Physical Sciences & Mathematics KW - Geometry KW - Flag manifolds. KW - Fiber spaces (Mathematics) KW - Fibre spaces (Mathematics) KW - Flag varieties (Mathematics) KW - Manifolds, Flag KW - Varieties, Flag (Mathematics) KW - Algebraic geometry. KW - Algebraic Geometry. KW - Algebraic topology KW - Algebraic varieties KW - Geometry, algebraic. KW - Algebraic geometry UR - https://www.unicat.be/uniCat?func=search&query=sysid:8132753 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. ER -