Geometric translations of (φ, Γ)-modules for GL2(ℚp)

We study “change of weights” maps between loci of the stack of ( φ , Γ)-modules over the Robba ring with integral Hodge–Tate–Sen weights. We show that in the GL 2 (ℚ p ) case these maps can realize translations of ( φ , Γ)-modules geometrically. The motivation is to investigate translations of locally analytic representations under the categorical p -adic Langlands correspondence.