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Texas A&M University

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.