Tue, 03 May 2022
14:00 -
15:00
L6
Equivariant line bundles with connection on the Drinfeld upper half-space
Amy Zhu
(Cambridge)
Abstract
Ardakov and Wadsley developed a theory of D-modules on rigid analytic spaces and established a Beilinson-Bernstein style localisation theorem for coadmissible modules over the locally analytic distribution algebra. Using this theory, they obtained admissible locally analytic representations of SL_2 by taking global sections of Drinfeld line bundles. In this talk, we will extend their techniques to SL_3 by studying the Drinfeld upper half-space \Omega^{(3)} of dimension 2.