On the geometry of smooth compactifications of complex hyperbolic manifolds

Luca Di Cerbo
Friday, 26 May, 2017, at 10:15-11:00, in Aud. G2 (1532-122)
In 1984 Hirzebruch constructed the first examples of non-minimal smooth compactifications of complex hyperbolic manifolds. In this talk, I will explain how such examples cannot exist if the dimension of the manifold is greater or equal to three (joint with G. Di Cerbo). Finally, I will discuss how Hirzebruch's example and closely related ball quotients (constructed jointly with M. Stover) are useful in answering a variety of questions in complex surfaces theory and hyperbolic geometry.

NB. This seminar is aimed at a general audience of mathematicians.
Organised by: QGM
Contact person: Jørgen Ellegaard Andersen