Deformation theory of the trivial mod $p$ Galois representation for ${\mathrm{GL}}_n$

Ashwin Iyengar

We study the rigid generic fiber ${\mathcal{X}}_{\overline{\rho }}^{\square }$ of the framed deformation space of the trivial representation $\overline{\rho }:G_K\to {\text{GL}}_n(k)$ where $k$ is…