内容摘要：The number of incompressible genus g surfaces in a hyperbolic 3-manifold is finite. But more is true: the count of incompressible surfaces is a quasi-polynomial in the euler characteristic, which can be efficiently computed from an ideal triangulation. We will discuss the key ideas in the proof of this fact and illustrate it with numerous examples of hyperbolic knot complements. Joint work with Nathan Dunfield and Hyam Rubinstein.
