Geometry/Topology Seminar

Professor Jeremy Kahn, SUNY Stonybrook, will speak on "Essential immersed surfaces in closed hyperbolic 3-manifolds" Abstract: We prove that fundamental group of a closed hyperbolic 3-manifold contains a surface subgroup. The subgroups are quasifuchsian groups 1 epsilon close to a fuchsian group. We prove this result by showing via mixing of the geodesic flow that randomly determined pairs of pants are sufficiently uniformly distributed to fit together into a closed almost flat surface. This is joint work with Vladimir Markovic.
Location:
Carney 309