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arXiv · 1901.04919

The intersection motive of the moduli stack of shtukas

Timo Richarz·Jakob Scholbach
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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 l in the Langlands correspondence for function fields.

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Timo Richarz, Jakob Scholbach. 2019-01-15. The intersection motive of the moduli stack of shtukas. https://doi.org/10.1017/fms.2019.32

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