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A toy model for the Drinfeld-Lafforgue shtuka construction

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arxiv 1908.05420 v5 pith:5ZRV5OBM submitted 2019-08-15 math.AG

D. Gaitsgory , D. Kazhdan , N. Rozenblyum , Y. Varshavsky This is my paper
classification math.AG
keywords actioncategoricalcategoryconstructionshtukaapplyingdefinitiondeparture
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The goal of this paper is to provide a categorical framework that leads to the definition of shtukas \`a la Drinfeld and of excursion operators \`a la V. Lafforgue. We take as the point of departure the Hecke action of Rep(G^L) on the category Shv(Bun_G) of sheaves on Bun_G, and also the endofunctor of the latter category, given by the action of the geometric Frobenius. The shtuka construction will be obtained by applying (various versions of) categorical trace.

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Cited by 2 Pith papers

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