Applications of number theory in hyperbolic geometry

Series: 
Geometry Topology Seminar
Monday, November 2, 2015 - 14:05
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Columbia University
,  
In this talk, first, I'll briefly go over my proof of the conjecture that there are only afinite number of hyperbolic 3-manifolds of bounded volume and trace field degree. Then I'lldiscuss some conjectural pictures to quantitative results and applications to other similarproblems.