Applications des immeubles en théorie des représentations

Stéphane Gaussent (1) , Cyril Charignon (1) , Nicole Bardy-Panse (1) , Guy Rousseau (1)

1 IECN - Institut Élie Cartan de Nancy

This is a survey about the connection between the representation theory of a semisimple group and the geometry of an affine building. The latter is, actually, associated to the Langlands'dual of the semisimple group. We deal, mainly, with the proof of the saturation theorem of Kapovich and Millson. We obtain a simplification of their proof regarding the characterization of folded triangles. The article is written in french for it is the outcome of a seminar that took place in Nancy last year.

Mots clés: Représentations; Immeuble

Domaines: Théorie des représentations [math.RT]

Stéphane Gaussent, Cyril Charignon, Nicole Bardy-Panse, Guy Rousseau. Applications des immeubles en théorie des représentations. 2010. ⟨hal-00504919⟩