Some Results in Complex Hyperbolic Geometry

Thursday, October 24, 2013 -
4:30pm to 5:30pm
PLEASE NOTE SPECIAL DAY AND LOCATION.  In this talk, I present a new approach to the study of cusped complex hyperbolic manifolds through their compactifications. Among other things, I give effective bounds on the number of complex hyperbolic manifolds with given upper bound on the volume. Moreover, I estimate the number of cuspidal ends of such manifolds in terms of their volume. Finally, I address the classification problem for cusped complex hyperbolic surfaces with minimal volume. This is the noncompact or logarithmic analogue of the well known classification problem for fake projective planes.
Luca Di Cerbo
Duke University
Event Location: 
Fine Hall 401