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

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狂怒

Lectures on the Moduli Stack of Vector Bundles on a Curve,o 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.

Colonnade

Clifford Indices for Vector Bundles on Curves,tions of a line bundle. This is the first step in distinguishing curves of the same genus. In this paper we generalise this to introduce Clifford indices for semistable vector bundles on curves. We study these invariants, giving some basic properties and carrying out some computations for small rank

emulsify

Division Algebras and Unit Groups on Surfaces, theory of vector bundles over curves resp. surfaces. Two different kinds of modifications of bundles and concepts of connectivity between such bundles are introduced. There are various computations of Chern classes of the bundles involved.

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高談闊論

Double Affine Hecke Algebras and Affine Flag Manifolds, I,in the main results of the authors on its representation theory. There are also some simplifications of the original arguments and proofs for some well-known results for which there exists no reference.

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A Physics Perspective on Geometric Langlands Duality,like covariance in differential geometry). Furthermore, it leads to an approach toward geometric Langlands duality for algebraic surfaces, reproducing and extending the recent results of Braverman and Finkelberg.

截?cái)?/a>

Conference proceedings 2010the 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.

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orthodox