Type: Seminar

Distribution: World

Expiry: 16 Nov 2023

CalTitle1: Geometry & Topology Seminar: Tsvietkova ’Polynomially many genus g surfaces in a hyperbolic 3-manifold’

Auth: tillmann@stephans-ipro-2.staff.wireless.sydney.edu.au (stillmann) in SMS-SAML

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.