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arXiv · 2010.01906

The stack of local systems with restricted variation and geometric Langlands theory with nilpotent singular support

D. Arinkin·D. Gaitsgory·D. Kazhdan·S. Raskin·N. Rozenblyum·Y. Varshavsky
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Abstract

We define a new geometric object--the stack of local systems with restricted variation. We formulate a version of the categorical geometric Langlands conjecture that makes sense for any constructible sheaf theory (such as l-adic sheaves). We formulate a conjecture that makes precise the connection between the category of automorphic sheaves and the space of automorphic functions.

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D. Arinkin, D. Gaitsgory, D. Kazhdan, S. Raskin, N. Rozenblyum, Y. Varshavsky. 2020-10-05. The stack of local systems with restricted variation and geometric Langlands theory with nilpotent singular support. https://arxiv.org/abs/2010.01906

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