Oral Exam: Contact structures on hyperbolic 3-manifolds

Series
Geometry Topology Working Seminar
Time
Wednesday, May 2, 2018 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Hyunki Min – Georgia Tech – hmin38@gatech.eduhttps://www.math.gatech.edu/people/hyun-ki-min
Organizer
Hyun Ki Min
Understanding contact structures on hyperbolic 3-manifolds is one of the major open problems in the area of contact topology. As a first step, we try to classify tight contact structures on a specific hyperbolic 3-manifold. In this talk, we will review the previous classification results and classify tight contact structures on the Weeks manifold, which has the smallest hyperbolic volume. Finally, we will discuss how to generalize this method to classify tight contact structures on some other hyperbolic 3-manifolds.