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THE INTERSECTION MOTIVE OF THE MODULI STACK OF SHTUKAS
Published online by Cambridge University Press: 03 February 2020
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.
MSC classification
- Type
- Algebra
- Information
- Creative Commons
- 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.
- Copyright
- © The Author(s) 2020
References
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