On nonemptiness of Newton strata in the $B_{\mathrm{dR}}^{+}$-Grassmannian for ${\mathrm{GL}}_n$

Serin Hong

We study the Newton stratification in the $B_{\mathrm{dR}}^{+}$-Grassmannian for ${\mathrm{GL}}_n$ associated to an arbitrary (possibly nonbasic) element of $B({\mathrm{GL}}_n)$. Our main…