The stack of local systems with restricted variation and geometric Langlands theory with nilpotent singular support
Algebraic Geometry
2022-04-07 v2
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.
Keywords
Cite
@article{arxiv.2010.01906,
title = {The stack of local systems with restricted variation and geometric Langlands theory with nilpotent singular support},
author = {D. Arinkin and D. Gaitsgory and D. Kazhdan and S. Raskin and N. Rozenblyum and Y. Varshavsky},
journal= {arXiv preprint arXiv:2010.01906},
year = {2022}
}