Fourier coefficients and a filtration on Shv(Bun_G)
Representation Theory
2023-08-25 v2
Abstract
We define a filtration by DG-subcategories on the DG-category Shv(Bun_G) of sheaves on the moduli of G-torsors on a curve, which is stable under the action of Hecke functors. We formulate a conjecture relating this filtration with another filtration on the spectral side of the categorical geometric Langlands conjecture. We also formulate a conjectural compatibility with the parabolic induction.
Keywords
Cite
@article{arxiv.2208.13500,
title = {Fourier coefficients and a filtration on Shv(Bun_G)},
author = {Sergey Lysenko},
journal= {arXiv preprint arXiv:2208.13500},
year = {2023}
}
Comments
27 pages; v2: presentation improved