On the structure of some p-adic period domains

Miaofen Chen; Laurent Fargues; Xu Shen

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arXiv · 1710.06935

On the structure of some p-adic period domains

Miaofen Chen·Laurent Fargues·Xu Shen

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Abstract

We prove the Fargues-Rapoport conjecture for p-adic period domains: for a reductive group G over a p-adic field and a minuscule cocharacter {\mu} of G, the weakly admissible locus coincides with the admissible one if and only if the Kottwitz set B(G,{\mu}) is fully Hodge-Newton decomposable.

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Miaofen Chen, Laurent Fargues, Xu Shen. 2017-10-18. On the structure of some p-adic period domains. https://arxiv.org/abs/1710.06935

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