Rigid character groups, Lubin-Tate theory, and $(\phi ,\Gamma )$-modules

Laurent Berger, Peter Schneider, Bingyong Xie

The construction of the $p$-adic local Langlands correspondence for ${\mathrm{GL}}_2({\mathbf{Q}}_p)$ uses in an essential way Fontaine's theory of cyclotomic $(\phi ,\Gamma )$-modules. Here \em…