THE INTERSECTION MOTIVE OF THE MODULI STACK OF SHTUKAS
Forum of Mathematics, Sigma, Tome 8 (2020)
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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.
@article{10_1017_fms_2019_32,
author = {TIMO RICHARZ and JAKOB SCHOLBACH},
title = {THE {INTERSECTION} {MOTIVE} {OF} {THE} {MODULI} {STACK} {OF} {SHTUKAS}},
journal = {Forum of Mathematics, Sigma},
publisher = {mathdoc},
volume = {8},
year = {2020},
doi = {10.1017/fms.2019.32},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2019.32/}
}
TIMO RICHARZ; JAKOB SCHOLBACH. THE INTERSECTION MOTIVE OF THE MODULI STACK OF SHTUKAS. Forum of Mathematics, Sigma, Tome 8 (2020). doi: 10.1017/fms.2019.32
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