  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.
