## Abstract

We study parabolic reductions and Newton points of G-bundles on the Fargues–Fontaine curve and the Newton stratification on the B_{dR}^{C} -Grassmannian for any reductive group G. Let Bun_{G} be the stack of G-bundles on the Fargues–Fontaine curve. Our first main result is to show that under the identification of the points of Bun_{G} with Kottwitz’s set B.G/, the closure relations on jBun_{G}j coincide with the opposite of the usual partial order on B.G/. Furthermore, we prove that every non-Hodge–Newton decomposable Newton stratum in a minuscule affine Schubert cell in the B_{dR}^{C} -Grassmannian intersects the weakly admissible locus, proving a conjecture of Chen. On the way, we study several interesting properties of parabolic reductions of G-bundles, and we determine which Newton strata have classical points.

Original language | English |
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Pages (from-to) | 177-225 |

Number of pages | 49 |

Journal | Duke Mathematical Journal |

Volume | 173 |

Issue number | 1 |

DOIs | |

State | Published - 2024 |

Externally published | Yes |

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