Inhaltspezifische Aktionen

Normal subgroup theorem for groups acting on buildings

Jean Lécureux (Université Paris-Saclay)


07.07.2022 von 16:15 bis 17:45 (Europe/Berlin / UTC200)


Hörsaal 111

Name des Kontakts

Termin zum Kalender hinzufügen


Let Γ be a lattice in a higher rank semisimple Lie group G (for example, SL3(R)). Margulis' Normal Subgroup Theorem states that normal subgroups of Γ are either of finite index, or finite (and central). In an ongoing project (with U. Bader and A. Furman), we intend to generalize this theorem to groups acting properly and cocompactly on affine buildings, even when they are not lattices in an algebraic group. The proof is heavily inspired by Margulis' strategy. In this talk I will try to explain the main steps of the proof, focusing on the more elementary example of SL3(R).