000 02606nam a22004335i 4500
001 978-3-0346-0288-4
003 DE-He213
005 20140220084518.0
007 cr nn 008mamaa
008 110128s2010 sz | s |||| 0|eng d
020 _a9783034602884
_9978-3-0346-0288-4
024 7 _a10.1007/978-3-0346-0288-4
_2doi
050 4 _aQA564-609
072 7 _aPBMW
_2bicssc
072 7 _aMAT012010
_2bisacsh
082 0 4 _a516.35
_223
100 1 _aSchmitt, Alexander.
_eeditor.
245 1 0 _aAffine Flag Manifolds and Principal Bundles
_h[electronic resource] /
_cedited by Alexander Schmitt.
264 1 _aBasel :
_bSpringer Basel,
_c2010.
300 _bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTrends in Mathematics
505 0 _aAffine Springer Fibers and Affine Deligne-Lusztig Varieties -- Quantization of Hitchin’s Integrable System and the Geometric Langlands Conjecture -- Faltings’ Construction of the Moduli Space of Vector Bundles on a Smooth Projective Curve -- Lectures on the Moduli Stack of Vector Bundles on a Curve -- On Moduli Stacks of G-bundles over a Curve -- Clifford Indices for Vector Bundles on Curves -- Division Algebras and Unit Groups on Surfaces -- A Physics Perspective on Geometric Langlands Duality -- Double Affine Hecke Algebras and Affine Flag Manifolds, I.
520 _aAffine 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.
650 0 _aMathematics.
650 0 _aGeometry, algebraic.
650 1 4 _aMathematics.
650 2 4 _aAlgebraic Geometry.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783034602877
830 0 _aTrends in Mathematics
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-0346-0288-4
912 _aZDB-2-SMA
999 _c111105
_d111105