Abstract: |
I will discuss an approach to classification of certain irreducible Harish-Chandra modules (that should be related to unitary representations) as quantizations of singular lagrangian subvarieties in singular symplectic varieties. The approach allows to classify these Harish-Chandra modules in terms of some basic geometric data assuming, roughly speaking, that the lagrangian subvariety in question is not too singular. This is based on some of my solo work, 1605.00592, 1810.07625, the joint monograph with Mason-Brown and Matvieievskyi, 2108.03453, and my work with Shilin Yu, 2309.11191. |