  We present a new construction of the p-adic local Langlands correspondence
for GL(2, Q_p) via the patching method of Taylor--Wiles and Kisin. This
construction sheds light on the relationship between the various other
approaches to both the local and global aspects of the p-adic Langlands
program; in particular, it gives a new proof of many cases of the second
author's local-global compatibility theorem, and relaxes a hypothesis on the
local mod p representation in that theorem.
