On G-equivariant quantizations of nilpotent coadjoint orbits and their covers

 Let $\mathfrak{g}$ be a simple Lie algebra over $\mathbb{C}$, G be the corresponding simply connected algebraic group and $\mathbb{O}\subset \mathfrak{g}^*$ be a nilpotent coadjoint orbit. In this talk, I will prove that the set of G-equivariant formal graded quantizations of $\mathbb{O}$ is an affine space.

This talk is based on arXiv:1810.11531.