# 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.

Speaker:

Luca Di Cerbo

Duke University

Event Location:

Fine Hall 401