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Abstract: In this paper, we construct the index bundle gerbe of a family of self-adjoint Dirac-type operators, refining a construction of Segal. In a special case, we construct a geometric bundle gerb...
Twisted geometric Satake equivalence via gerbes on the factorizable grassmannian
Twisted geometric Satake equivalence gerbes factorizable grassmannian
2011/2/28
The geometric Satake equivalence of Ginzburg and Mirkovic{ Vilonen, for a complex reductive group G, is a realization of the tensor category of representations of its Langlands dual group LG as a cat...