# Représentations \(p\)-adiques de Groupes \(p\)-adiques III: Méthodes Globales et Géométriques

Share this page *Edited by *
*Laurent Berger; Christophe Breuil; Pierre Colmez*

A publication of the Société Mathématique de France

In this last volume on the local \(p\)-adic correspondence for \(\mathrm{GL}_2(\mathbf Q_p)\), the editors have gathered papers which, mostly, do not use directly the \((\phi,\Gamma)\)-module theory. The methods and results are often geometric (\(p\)-adic comparison theorems, de Rham cohomology of the Drinfeld half-plane), or global (local-global compatibility with étale completed cohomology). There are also papers on \(p\)-adic Hodge theory and the \(\mathcal L\)-invariant and important local results on extensions between certain representations of \(\mathrm{GL}_2(\mathbf Q_p)\).

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

#### Readership

Graduate students and research mathematicians interested in number theory.