PIMS Symplectic Geometry Seminar: Hans-Christian Herbig

Given a finite dimensional unitary representation of a compact Lie group G one constructs the so-called symplectic quotient. This is given by the space of G-orbits in the zero fibre of the moment map. The symplectic quotient is stratified by symplectic manifolds and can be understood as a semi-algebraic set. We will present results related to the isomorphism problem of symplectic quotients. In particular, we will be concerned with the question when a symplectic quotient is symplectomorphic to a finite unitary quotient.