THE INTERSECTION MOTIVE OF THE MODULI STACK OF SHTUKAS

Source abstract

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.