this is a report on joint work with ana caraiani, matthew emerton, toby gee, david geraghty, and vytautas paskunas. we will explain some ideas around the global construction of new representation-theoretic objects called "patched modules" by a variant of the taylor-wiles-kisin method. they are in many ways better suited than p-adically completed cohomology for a global attempt to understand the p-adic local langlands correspondence. as an application, we obtain new cases of the breuil-schneider conjecture.