Karol Kozioł

Non-equivalence of pro-$p$-Iwahori invariants

Suppose $F$ is a nonarchimedean local field whose residue field is a proper extension of $\mathbb{F}_p$ with $p>3$. Generalizing results of Ghate--Le--Sheth, we show that any split, connected, reductive group $G$ over $F$ which is not a torus admits a smooth, irreducible, non-admissible mod $p$ representation. We use t...