Breuil–Schneider lattice separation conjecture
Let G=GL2(F)G=GL_2(F)G=GL2(F)), let CCC be as in the source with ring of integers OC\mathcal{O}_COC, and let Θk‾,a\Theta_{\underline{k},a}Θk,a be the OC[G]\mathcal{O}_C[G]OC[G]-lattice in Πk‾,a\Pi_{\underline{k},a}Πk,a…