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- W2890612974 abstract "Given a continuous ordinary Galois representation $bar{rho}:G_{mathbb{Q}_p}rightarrowmathrm{GL}_n(overline{mathbb{F}}_p)$, Breuil and Herzig constructed an admissible smooth $overline{mathbb{F}}_p$-representation $Pi(bar{rho})^{mathrm{ord}}$ of $mathrm{GL}_n(mathbb{Q}_p)$ and showed that it occurs in certain globally defined mod $p$ cohomology spaces. By applying Taylor-Wiles patching to spaces of ordinary automorphic representations we prove that the indecomposable pieces of $Pi(bar{rho})^{mathrm{ord}}$ each occur with the same multiplicity at a well-chosen tame level." @default.
- W2890612974 created "2018-09-27" @default.
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- W2890612974 date "2018-09-02" @default.
- W2890612974 modified "2023-09-27" @default.
- W2890612974 title "Multiplicities in the ordinary part of mod $p$ cohomology for $mathrm{GL}_n(mathbb{Q}_p)$" @default.
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