Affine Flag Manifolds and Principal Bundles

• Corporate Author: SpringerLink (Online service)
• Other Authors: Schmitt, Alexander (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel, 2010.
• Series: Trends in Mathematics
• Subjects: Mathematics.; Algebraic geometry.; Algebraic Geometry.

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 doub...

Table of Contents:

• Affine 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.