For a split reductive group$G$over a finite field, we show that the intersection (cohomology) motive of the moduli stack of iterated$G$-shtukas with bounded modification and level structure is defined independently of the standard conjectures on motivic$t$-structures on triangulated categories of motives. This is in accordance with general expectations on the independence of$\ell$in the Langlands correspondence for function fields.

中文翻译：

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Shtukas 模数栈的交集动机

对于分裂还原组$G$在有限域上，我们证明了迭代模堆栈的交集（上同调）动机$G$-shtukas 有界修改和水平结构的定义独立于 motivic 的标准猜想$t$-动机的三角分类结构。这符合对独立性的普遍预期$\ell$在函数场的朗兰兹对应中。