Affine Flag Manifolds and Principal Bundles

• Corporate Author: SpringerLink (Online service)
• Other Authors: Schmitt, Alexander. (Editor)
• Format: Electronic
• Language: English
• Published: Basel : Springer Basel, 2010.
• Series: Trends in Mathematics
• Subjects: Mathematics.; Geometry, algebraic.; Algebraic Geometry.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-0346-0288-4

Affine flag manifolds are infinite dimensional versions of familiar objects such as Gra<U+00df>mann 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...

Table of Contents:

• Affine Springer fibers and affine Deligne-Lusztig varieties
• Quantization of Hitchin<U+0019>s integrable system and the geometric Langlands conjecture
• Faltings<U+0019> 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
• A physics perspective on geometric Langlands duality
• Unit groups of division algebras
• Double affine Hecke algebras and affine flag manifolds, I.