Titlebook: Affine Flag Manifolds and Principal Bundles; Alexander Schmitt Conference proceedings 2010 Birkh?user Basel 2010 Dimension.algebraic geome

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Janine Werner,Felix M. Kempf,Thomas Corinthd .. This construction was presented by the author at the . at the University of Essen in February 2007..To ease notation and to simplify the necessary proofs only the case of rank two vector bundles with determinant isomorphic to ω. is considered..These notes give a self-contained introduction to t

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Research Contributions to CSR 2.0 in Tourismo introduce the notion of algebraic stacks and to illustrate how one can work with these objects. Applications given are the (non-)existence of universal families on coarse moduli spaces and the computation of the cohomology of the moduli stack.

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Su Mi Dahlgaard-Park,Jens J. Dahlgaard initiated by Kapustin and Witten in 2006. We sketch some of the central further developments. Placing this four-dimensional gauge theory into a six-dimensional framework, as advocated by Witten, holds the promise to lead to a formulation which makes geometric Langlands duality a manifest symmetry (

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