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 moti...

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Bibliographic Details
Published in:arXiv.org 2019-12
Main Authors: Richarz, Timo, Scholbach, Jakob
Format: Article
Language:English
Subjects:
Fields (mathematics)
Homology
Modules
Number theory
Online Access:Get full text
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Summary: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 l in the Langlands correspondence for function fields.
ISSN:2331-8422
DOI:10.48550/arxiv.1901.04919