From category O^infty to locally analytic representations
Let
be a
-adic
reductive group with Lie algebra
.
In this talk, we’ll briefly review Schneider and Teitelbaum’s theory of locally
analytic representations of
and then we’ll discuss a functor which constructs locally analytic
representations of
out of
-modules
in the extension closure of the Bernstein-Gelfand-Gelfand category
.
A key role in this construction is played by
-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).