Palestra: Real and complex algebraic geometry of Hamiltonian reductions
Palestrante: Hans-Christian Herbig (UFRJ)
Resumo: I will explain how invariant theory can be used to study the symplectic quotient arising from reduction at zero level of the moment map of a unitary representation of a compact Lie group. I will elaborate on the symplectomorphism problem for these spaces. In particular, I will explain what general feature they have and what “invariants” can be used to distinguish them. I will elaborate on how to complexify the spaces and the discuss the role of largeness in all of this.