Oral Exam: Contact structures on hyperbolic 3-manifolds

Series: 
Geometry Topology Working Seminar
Wednesday, May 2, 2018 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Georgia Tech
,  
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.