Topology Seminar
Date: November 14, 2023
Time: 3:00PM - 4:00PM
Location: BLOC 624
Speaker: Hongbin Sun, Rutgers University - New Brunswick
Title: Virtual domination of 3-manifolds
Abstract: In this talk, we survey known results on virtual domination of 3-manifolds, i.e. a 3-manifold has a finite cover that admits a non-zero degree to another 3-manifold. We have proved a sequence of results on this topic, in which the domains are closed hyperbolic 3-manifold, closed 3-manifold with positive simplicial volume, cusped hyperbolic 3-manifolds, respectively. The good pants construction initiated by Kahn and Markovic is a crucial tool for proofs of all these results.