Symplectic and Poisson geometry seminar
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- https://illinois.zoom.us/j/81927025233?pwd=c2FrZUVOV3YydFh4SngzdGorNWdmZz09
- Date
- Oct 10, 2023 11:10 am
- Speaker
- David Miyamoto (MPIM)
- Views
- 37
- Originating Calendar
- General Events - Department of Mathematics
Speaker: David Miyamoto (MPIM)
Title: Leaf spaces of Killing foliations
Abstract: A Riemannian foliation is a foliation for which any two leaves are locally equidistant. By the Reeb stability theorem, every leaf space of a Riemannian foliation with compact leaves is an orbifold. We prove that, under mild completeness assumptions, the leaf space of a Killing Riemannian foliation - which includes Riemannian foliations of simply connected manifolds, and those induced by connected groups acting isometrically on compact Riemannian manifolds - is a diffeological quasifold: it is locally diffeomorphic to quotients of Cartesian space by countable group acting affinely. Furthermore, we show that the holonomy groupoid of a Killing foliation is, locally, Morita equivalent to the action groupoids of the aforementioned actions. This is joint work with Yi Lin.