Conjectures and results on modular representations of $\mathrm{GL}_n(K)$ for a $p$-adic field $K$

11 Feb 2021 Christophe Breuil Florian Herzig Yongquan Hu Stefano Morra Benjamin Schraen

Let $p$ be a prime number and $K$ a finite extension of $\mathbb{Q}_p$. We state conjectures on the smooth representations of $\mathrm{GL}_n(K)$ that occur in spaces of mod $p$ automorphic forms (for compact unitary groups)... (read more)

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