Un après-midi de théorie des groupes – Jean Lécureux, Adrien Le Boudec, Vadim Kaimanovich
Salle W14.00 - 14.45 : Jean Lécureux (Université de Bordeaux)Title: A simple lattice in an affine building Abstract: Affine buildings appear naturally in the study of algebraic groups over local fields: the first example is the tree on which acts SL_2(Q_p). Lattices in these algebraic groups are, in higher rank, arithmetic, and in every case, residually finite (hence never simple). Nevertheless, the main result that I will present implies that there exists a simple group which acts properly discontinuously and cocompactly on an affine building. The construction of this group is due to Titz-Mite […]