The intersection motive of the moduli stack of shtukas
Algebraic Geometry
2020-02-19 v3 K-Theory and Homology
Number Theory
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.
Keywords
Cite
@article{arxiv.1901.04919,
title = {The intersection motive of the moduli stack of shtukas},
author = {Timo Richarz and Jakob Scholbach},
journal= {arXiv preprint arXiv:1901.04919},
year = {2020}
}
Comments
Added a comparison with equivariant higher Chow groups, further minor edits. Final version, to appear in Forum of Mathematics Sigma. The former section 6 on Motives on Witt vector affine flag varieties has been removed and will appear elsewhere