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THE INTERSECTION MOTIVE OF THE MODULI STACK OF SHTUKAS

Published online by Cambridge University Press:  03 February 2020

TIMO RICHARZ
Affiliation:
TU Darmstadt, Germany; richarz@mathematik.tu-darmstadt.de
JAKOB SCHOLBACH
Affiliation:
Universität Münster, Germany; jakob.scholbach@uni-muenster.de

Abstract

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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.

Type
Algebra
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
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