Karol Kozioł

collaborators

5 papers

math.RT2026

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

Karol Koziol

Suppose $F$ is a nonarchimedean local field whose residue field is a proper extension of $F_{p}$ with $p > 3$ . Generalizing results of Ghate--Le--Sheth, we show that any spl…

math.NT2026

To be or not to be local

Christophe Breuil, Florian Herzig, Yongquan Hu +4

Let $p$ be a prime number and $K$ a finite unramified extension of $Q_{p}$ . For a smooth representation $I ¨ $ of $GL_{2} (K)$ occurring in some Hecke eigenspace of the…

math.RT2026

Parahoric Hecke Ext-algebras in characteristic $p$

Karol Koziol, Rachel Ollivier, Jacob Stockton

Let $F$ be a nonarchimedean local field of residual characteristic $p$ , and let $G$ denote the group of $F$ -points of a connected reductive group over $\mathf…

math.RT2026

Mod $p$ Iwasawa algebras of pro- $p$ Iwahori subgroups

Rudy Ariaz, Steven Creech, Bryan Hu +4

Suppose $F$ is a finite unramified extension of $Q_{p}$ , and $G$ is the group of $F$ -points of a split, connected, reductive group over $F$ . Under a natural restriction on $…

math.RT2025

Derived Satake morphisms for $p$ -small weights in characteristic $p$

Let $F$ be a finite unramified extension of $Q_{p}$ with ring of integers $O_{F}$ , and let $G$ denote a split, connected reductive group over $\mathcal{O}_F…

Non-equivalence of pro-p-Iwahori invariants

To be or not to be local

Parahoric Hecke Ext-algebras in characteristic p

Mod p Iwasawa algebras of pro-p Iwahori subgroups

Derived Satake morphisms for p-small weights in characteristic p

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

Parahoric Hecke Ext-algebras in characteristic $p$

Mod $p$ Iwasawa algebras of pro- $p$ Iwahori subgroups

Derived Satake morphisms for $p$ -small weights in characteristic $p$