论文标题
SHV(BUN_G)上的傅立叶系数和过滤
Fourier coefficients and a filtration on Shv(Bun_G)
论文作者
论文摘要
我们在曲线上G-Torsors的模量上的DG类别SHV(BUN_G)上通过DG-Subcategories定义了过滤,在Hecke函数的作用下是稳定的。我们制定了一个猜想,将这种过滤与分类几何兰兰兹猜想的光谱侧的另一种过滤有关。我们还提出了与抛物线诱导的猜想兼容性。
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.