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

no code implementations • 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 $\mathbb{Q}_p$.

Number Theory Representation Theory

Gelfand-Kirillov dimension and mod p cohomology for GL2

no code implementations • 7 Sep 2020 • Christophe Breuil, Florian Herzig, Yongquan Hu, Stefano Morra, Benjamin Schraen

Let $p$ be a prime number, $F$ a totally real number field unramified at places above $p$ and $D$ a quaternion algebra of center $F$ split at places above $p$ and at no more than one infinite place.

Number Theory Representation Theory