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Affine Flag Manifolds and Principal Bundles
Trends in Mathematics
ISBN/EAN: 9783034602877
Umbreit-Nr.: 1835027
Sprache:
Englisch
Umfang: 290 S.
Format in cm:
Einband:
gebundenes Buch
Erschienen am 22.06.2010
Auflage: 1/2010
- Zusatztext
- 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.
- Kurztext
- User-friendly introductions to interesting fields of active current researchContributions written by internationally renowned expertsNo textbooks available on these topics so farIncludes supplementary material: sn.pub/extras
- Autorenportrait
- InhaltsangabeU. Görtz: Affine Springer fibers and affine Deligne-Lusztig varieties; T. Gómez: Quantization of Hitchin's integrable system and the geometric Langlands conjecture.- G. Hein: Faltings' construction of the moduli space of vector bundles on a smooth projective curve.- J. Heinloth: Lectures on the moduli stack of vector bundles on a curve.- N. Hoffmann: On moduli stacks of G-bundles over a curve.- H. Lange, P. Newstead: Clifford indices for vector bundles on curves.- K.-G. Schlesinger: A physics perspective on geometric Langlands duality.- U. Stuhler: Unit groups of division algebras.- M. Varagnolo, E. Vasserot: Double affine Hecke algebras and affine flag manifolds, I