2023
DOI: 10.1093/imrn/rnad274
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Irreducible Components of the Moduli Space of Langlands Parameters

Jack Shotton

Abstract: Let $F/\mathbb{Q}_{p}$ be finite, $G$ be an $L$-group, and let $\mathfrak{X}_{G}$ be the moduli space of Langlands parameters $W_{F} \to G$, in characteristic distinct from $p$. First, we determine the irreducible components of ${\mathfrak{X}}_{G}$. Then, we determine the local structure around tamely ramified points for which the image of inertia is regular. This local structure is related to the endomorphism rings of Gelfand–Graev representations, by work of Li. Lastly, we determine an open dense set in ${\m… Show more

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