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arXiv · 2208.13500

Fourier coefficients and a filtration on Shv(Bun_G)

Sergey Lysenko
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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.

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Sergey Lysenko. 2023-07-11. Fourier coefficients and a filtration on Shv(Bun_G). https://doi.org/10.1016/j.aim.2023.109250

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