Reductions of ${\mathrm{GL}}_2({\mathbb{Q}}_{p^f})$-Banach spaces of slopes in $(0,1)$

Eknath Ghate, Shivansh Pandey

Let $p$ be an odd prime and $f\ge 1$. We consider a $p$-adic locally algebraic ${\text{GL}}_2({\mathbb{Q}}_{p^f})$-representation attached to a tuple of $f$ weights $k=(k_i)$ for $0 \…