3 problems

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Riese's minimal integral model conjecture for reducible principal-series Weil characters
Let $G=\operatorname{SL}_2(\mathbb{F}_p)$ with $p\geq3$ prime. For each of the two irreducible Weil characters $\xi_1$ and $\xi_2$ arising from the reducible principal series, of d…
Conjectureopenintegral-models representation-theory weil-representationsarXiv posted 2 days ago
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Fargues' conjecture for irreducible representations of the Weil group of GL_n
Let $E$ be the local field underlying the Weil group $W_E$ , let $G=\mathrm{GL}_n$ , and let $B(G)$ denote its Kottwitz set. Write $\mathrm{Bun}_n$ for the moduli stack of $G$ -bundle…
Conjectureopenautomorphic-sheaves fargues-program weil-representationsarXiv posted 2 days ago
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Koch's counting conjecture for irreducible Weil representations
Koch's conjecture. One has
Conjectureopenlocal-langlands number-theory weil-representationsarXiv posted 2 days ago

Riese's minimal integral model conjecture for reducible principal-series Weil characters