Speaker: Eugene Lerman (UIUC)
Title: Poisson C∞ -schemes
Abstract: We introduce Poisson C∞ -rings and Poisson C∞ -ringed spaces. We show that the spectrum of a Poisson C∞ -ring is an affine Poisson C∞ -scheme. We then discuss applications that include singular symplectic and Poisson reductions, singular quasi-Poisson reduction, coisotropic reduction and Poisson-Dirac subschemes.