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An example of the derived geometrical Satake correspondence over integers

Zhu, Xinwen (2009) An example of the derived geometrical Satake correspondence over integers. . (Submitted)

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

Item Type:Report or Paper (Discussion Paper)
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Additional Information:Imported from arXiv. The author would like to thank Roman Bezrukavnikov, Edward Frenkel, Dennis Gaitsgory, Joel Kamnitzer, Shrawan Kumar and Zhiwei Yun for useful discussions.
Record Number:CaltechAUTHORS:20140919-164459201
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:49876
Deposited By: George Porter
Deposited On:22 Sep 2014 19:39
Last Modified:03 Oct 2019 07:18

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