Geometry & Topology: Anastasiia Tsvietkova -- Polynomially many genus g surfaces in a hyperbolic 3-manifold

Monday 21 August 2023, 15:00-16:00, Carslaw 535

Speaker: Anastasiia Tsvietkova (Rutgers)

Title: Polynomially many genus g surfaces in a hyperbolic 3-manifold

Abstract: For a low-dimensional manifold, one often tries to understand its 
intrinsic topology through its submanifolds, in particular of co-dimension 1. 
In particular, it was noticed before that presence of embedded essential surfaces 
in a 3-manifold can give information about that manifold. However to construct, 
classify or count such surfaces is a non-trivial task. We will discuss the universal 
upper bound for the number of non-isotopic genus g surfaces embedded in a hyperbolic 
3-manifold, polynomial in hyperbolic volume. 

This is joint work with Marc Lackenby.