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).