From category O^infty to locally analytic representations

Let G be a p-adic reductive group with Lie algebra 𝔤. In this talk, we’ll briefly review Schneider and Teitelbaum’s theory of locally analytic representations of G and then we’ll discuss a functor which constructs locally analytic representations of G out of 𝔤-modules in the extension closure of the Bernstein-Gelfand-Gelfand category 𝒪. A key role in this construction is played by p-adic logarithms. This construction is joint work with Matthias Strauch, and generalizes earlier work by Strauch and Orlik.

L’exposé aura lieu sur Zoom (données de connexion à annoncer).