On modular rigidity for ${\mathrm{GL}}_n$

Nadir Matringe, Alberto Mínguez, Vincent Sécherre

Let $k$ be a global field and ${\mathbb{A}}_k$ be its ring of adeles. Let $\ell$ be a prime number and fix a field isomorphism from $\mathbb{C}$ to ${\overline{\mathbb{Q}}}_{\ell }$. Le…