Bram Petri

Extremal problems and probabilistic methods in hyperbolic geometry

Where: Virtual Seminar on Geometry and Topology


Even if we know many things about hyperbolic manifolds, there are many open extremal problems on them. To name a few: Even for surfaces (i.e n=2), many of these extremal problems are open. In this case, answers to these questions also provide insight into the shape of deformation spaces of hyperbolic surfaces.

In these lectures, I will discuss some of these problems. I will talk about what is known about them and how random constructions of hyperbolic manifolds sometimes provide answers.

Lecture notes

I will post my notes here after each lecture.
DISCLAIMER: These notes will probably be full of mistakes and typos, I'm happy to hear about any of them.