Rigid Character Groups, Lubin-Tate Theory, and $(\varphi ,\Gamma )$-Modules

The main idea of this article is to carry out a Lubin-Tate generalization of the theory of cyclotomic $(\varphi,\Gamma )$-modules in a different fashion. Instead of the $p$-adic open unit disk, the authors work over a character variety that parameterizes the locally $L$-analytic characters on $o_L$.