The intersection motive of the moduli stack of shtukas
Abstract
For a split reductive group G over a finite field, we show that the intersection (cohomology) motive of the moduli stack of iterated Gshtukas with bounded modification and level structure is defined independently of the standard conjectures on motivic tstructures on triangulated categories of motives. This is in accordance with general expectations on the independence of l in the Langlands correspondence for function fields.
 Publication:

arXiv eprints
 Pub Date:
 January 2019
 arXiv:
 arXiv:1901.04919
 Bibcode:
 2019arXiv190104919R
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  KTheory and Homology;
 Mathematics  Number Theory
 EPrint:
 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