Seminars & Colloquia Calendar
Virtual domination of 3-manifolds
Hongbin Sun (Rutgers - New Brunswick)
Location: Hill Center, Room 705
Date & time: Tuesday, 08 November 2022 at 4:00PM - 5:00PM
Seminar website: https://sites.google.com/view/rutgersgeometrytopologyseminar/home
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 all proofs of these results.