Classifying contact structures on hyperbolic 3-manifolds

Geometry Topology Seminar
Monday, December 9, 2019 - 2:30pm for 1 hour (actually 50 minutes)
Skiles 202
James Conway – UC, Berkeley
John Etnyre

Please Note: Note time and place of seminar

Two of the most basic questions in contact topology are which manifolds admit tight contact structures, and on those that do, can we classify such structures. In dimension 3, these questions have been answered for large classes of manifolds, but with a notable absence of hyperbolic manifolds. In this talk, we will see a new classification of contact structures on an family of hyperbolic 3-manifolds arising from Dehn surgery on the figure-eight knot, and see how it suggests some structural results about tight contact structures. This is joint work with Hyunki Min.