- Series
- Geometry Topology Seminar
- Time
- Friday, March 17, 2023 - 2:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Luca Di Cerbo – University of Florida – https://arxiv.org/search/math?searchtype=author&query=Di%20Cerbo%2C%20L%20F
- Organizer
- Igor Belegradek
A well-known conjecture of Dennis Sullivan asserts that a hyperbolic n-manifold with n>2 cannot admit a complex structure. This conjecture is known to be true in dimension four but little is known in higher dimensions. In this talk, I will outline a new proof of the fact that a hyperbolic 4-manifold cannot support a complex structure. This new proof has some nice features, and it generalizes to show that all extended graph 4-manifolds with positive Euler number cannot support a complex structure. This is joint work with M. Albanese.