Title: On the geometry of smooth compactifications of complex hyperbolic manifolds
2017.05.15 |
Date | Fri 26 May |
Time | 10:15 — 11:00 |
Location | 1532-122 Aud-G2 |
Abstract:
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.