Ottawa, 7 - 11 juin 2021
I will realize the Ginzburg--Kazhdan construction as an instance of ``Hamiltonian reduction along a pre-Poisson subvariety", a procedure developed jointly with Maxence Mayrand. This reduction procedure also encompasses Marsden--Weinstein reduction, symplectic implosion, Mikami--Weinstein reduction, and hyperk\"ahler slices, all of which I will explain if time permits.
This represents joint work with Maxence Mayrand.
A similar picture holds over the bigger space of pairs (curve, bundle on that curve), that is, allowing the curve to move.
(joint work with Indranil Biswas, and Volodya Rubtsov)