Families of Galois representations and $(\phi ,\tau )$-modules

Aditya Karnataki, Léo Poyeton

Let $p$ be a prime, and let $K$ be a finite extension of ${\mathbf{Q}}_p$, with absolute Galois group ${\mathcal{G}}_{\mathcal{K}}$. Let $\pi$ be a uniformizer of $K$ and let $K_{\infty }$ be the Kummer ex…