Convexity and Contact Sphere Theorem

Series: 
Geometry Topology Student Seminar
Wednesday, March 14, 2018 - 2:00pm
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
GaTech
Organizer: 

Assuming
some "compatibility" conditions between a Riemannian metric and a
contact structure on a 3-manifold, it is natural to ask whether
we can use methods in global geometry to get results in contact topology. There is a notion
of compatibility in this context which relates convexity concepts in
those geometries and is well studied concerning geometry questions, but
is not exploited for topological questions. I will talk about "contact
sphere theorem" due to Etnyre-Massot-Komendarczyk,
which might be the most interesting result for contact topologists.