# Newton strata in the loop group of a reductive group

Eva Viehmann

Number | 28 |
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Author | Dr. Eva Viehmann |

Project | B08 |

Year | 2010 |

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.