Geometric translations of $(\phi ,\Gamma )$-modules for ${\mathrm{GL}}_2({\mathbb{Q}}_p)$

Zhixiang Wu

We study ``change of weights'' maps between loci of the stack of $(\phi ,\Gamma )$-modules over the Robba ring with integral Hodge-Tate-Sen weights. We show that in the $\mathrm{GL}_2(\mathb…