Full p-adic coherence conjecture for local-model special fibers

Let $\calM_{\calG,\mu}^{\on{sch}}$ be the scheme-theoretic local model, let $k_E$ be the residue field of the reflex field, and let $\calA_{\calG,\mu}^{\on{can}}$ be the canonical deperfection of the admissible locus. There is a natural morphism

$$\calA_{\calG,\mu}^{\on{can}}\rightarrow\calM_{\calG,\mu,k_E}^{\on{sch}}.$$

Full p-adic coherence conjecture. This natural morphism is always an isomorphism. The assertion is already known under some hypotheses, while the paper identifies a small number of remaining wild cases and outlines reductions for proving them.