An algorithm for computing the reduction of $2$-dimensional crystalline representations of $\text{Gal}({\overline{\mathbf{Q}}}_p/{\mathbf{Q}}_p)$

Sandra Rozensztajn

We describe an algorithm to compute the reduction modulo $p$ of a crystalline Galois representation of dimension $2$ of $\text{Gal}({\overline{\mathbf{Q}}}_p/{\mathbf{Q}}_p)$ with dist…