published on February 27, 2025
Tempered representations with unipotent parahoric restriction: a noncommutative geometry viewpoint
By Anne-Marie Aubert
Quasisemisimple classes
By Jean Michel
Appears in collections : Representation theory of finite and p-adic groups of Lie type / Représentation des groupes de Lie finis et p-adiques, Exposés de recherche
This is a report on joint work with François Digne. Quasisemisimple elements are a generalisation of semisimple elements to disconnected reductive groups (or equivalently, to algebraic automorphisms of reductive groups). In the setting of reductive groups over an algebraically closed field, we discuss the classification of quasisemisimple classes, including isolated and quasi-isolated ones. The talk will start with the basic theory of non-connected reductive groups.
