Towards the wall-crossing of locally ${\mathbb{Q}}_p$-analytic representations of ${\mathrm{GL}}_n(K)$ for a $p$-adic field $K$

Yiwen Ding

Let $K$ be a finite extension of ${\mathbb{Q}}_p$. We study the locally ${\mathbb{Q}}_p$-analytic representations $\pi$ of ${\mathrm{GL}}_n(K)$ of integral weights that appear in spaces of…