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arXiv · 0910.5702

An example of the derived geometrical Satake correspondence over integers

Xinwen Zhu
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Abstract

Let G^\vee be a complex simple algebraic group. We describe certain morphisms of G^\vee(\calO)-equivariant complexes of sheaves on the affine Grassmannian \Gr of G^\vee in terms of certain morphisms of G-equivariant coherent sheaves on \frakg, where G is the Langlands dual group of G^\vee and \frakg is its Lie algebra. This can be regarded as an example of the derived Satake correspondence.

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Xinwen Zhu. 2009-10-29. An example of the derived geometrical Satake correspondence over integers. https://arxiv.org/abs/0910.5702

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