Introduction Chapter 1. Lubin-Tate theory and the character variety Chapter 2. The boundary of $\mathfrak X$ and $(\varphi _L,\Gamma _L)$-modules Chapter 3. Construction of $(\varphi _L,\Gamma _L)$-modules
Summary
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 (\varphi ,\Gamma )-modules. Here cyclotomic means that \Gamma = \mathrm {Gal}(\mathbf{Q}_p(\mu_{p̂\infty})/\mathbf{Q}_p) is the Galois group of the cyclotomic extension of \mathbf Q_p. In order to generalize the p-adic local Langlands correspondence to \mathrm{GL}_{2}(L), where L is a finite extension of \mathbf{Q}_p, it seems necessary to have at our disposal a theory of Lubin-Tate (\varphi ,\Gamma )-modules. Such a generalization has been carr
Notes
"January 2020, volume 263, number 1275 (fifth of 7 numbers)"