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THE INTERSECTION MOTIVE OF THE MODULI STACK OF SHTUKAS

THE INTERSECTION MOTIVE OF THE MODULI STACK OF SHTUKAS

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 …