Représentations galoisiennes automorphes et conséquences arithmétiques des conjectures de Langlands et Arthur

Abstract

This is the memoir of my habilitation thesis, defended on March 29 th, 2013 (Université Paris XI).

123 pages, french

References in corpus (4)

• Classification of two dimensional split trianguline representations of $p$-adic fields
• An analogue of the BGG resolution for locally analytic principal series
• The 2-adic Eigencurve is Proper
• The eigencurve is proper at integral weights

Cited by in corpus (3)

• Algebraic families of Galois representations and potentially semi-stable pseudodeformation rings
• Finiteness properties of the category of mod $p$ representations of ${\mathrm{GL}}_2({\mathbb{Q}}_p)$
• The CAP representations indexed by Hilbert cusp forms