Newton strata in the loop group of a reductive group
arXiv:1005.5725
Abstract
We generalize purity of the Newton stratification to purity for a single break point of the Newton point in the context of local G-shtukas respectively of elements of the loop group of a reductive group. As an application we prove that elements of the loop group bounded by a given dominant coweight satisfy a generalization of Grothendieck's conjecture on deformations of p-divisible groups with given Newton polygons.
15 pages; exposition improved, minor corrections