Freeness conjecture for the stalks of standard sheaves
Freeness conjecture for the stalks of standard sheaves
Let be the standard sheaf associated with a dominant coweight in the geometric Satake correspondence. Its stalks are free abelian groups.
Freeness conjecture. The stalks of are free.
This conjecture concerns the integral structure of standard sheaves in the affine Grassmannian and would ensure that their local data has no torsion. The supplied text does not state whether it has been resolved.
Sources & referencesView supporting material
Primary source
I. Mirkovic and K. Vilonen, “Geometric Langlands duality and representations of algebraic groups over commutative rings”, arXiv:math/0401222 (2018).
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