[HG_A] On supercuspidal locally analytic representations of GL2(Qp)
ABSTRACT
The Drinfeld upper half plane is a certain p-adic symmetric space. The cohomology of equivariant vector bundles on this one-dimensional rigid analytic space gives rise to locally analytic representations of GL2(Qp). These representations are closely related to two-dimensional p-adic de Rham Galois representations, by the Breuil–Strauch conjecture, proved by Dospinescu and Le Bras. In this talk, I will discuss ongoing work on computing higher extension groups of these locally analytic representations, with a final goal toward a geometrization of their derived category. This is joint work in progress with Benchao Su and Zhenghui Li.
