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- W2896483500 abstract "We prove a version of the weight part of Serre's conjecture for mod $p$ Galois representations attached to automorphic forms on rank 2 unitary groups which are non-split at $p$. More precisely, let $F/F^+$ denote a CM extension of a totally real field such that every place of $F^+$ above $p$ is unramified and inert in $F$, and let $overline{r}: textrm{Gal}(overline{F^+}/F^+) longrightarrow {}^Cmathbf{U}_2(overline{mathbb{F}}_p)$ be a Galois parameter valued in the $C$-group of a rank 2 unitary group attached to $F/F^+$. We assume that $overline{r}$ is semisimple and sufficiently generic at all places above $p$. Using base change techniques and (a strengthened version of) the Taylor-Wiles-Kisin conditions, we prove that the set of Serre weights in which $overline{r}$ is modular agrees with the set of Serre weights predicted by Gee-Herzig-Savitt." @default.
- W2896483500 created "2018-10-26" @default.
- W2896483500 creator A5013775208 @default.
- W2896483500 creator A5065086280 @default.
- W2896483500 date "2022-12-19" @default.
- W2896483500 modified "2023-09-23" @default.
- W2896483500 title "Serre weight conjectures for p-adic unitary groups of rank 2" @default.
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- W2896483500 doi "https://doi.org/10.2140/ant.2022.16.2005" @default.
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