Shalen's program on quantitative Mostow rigidity

Wednesday, February 26, 2020 - 15:30 to 16:30

625 Thackeray

Speaker Information
Jason DeBlois

Abstract or Additional Information

Last week's colloquium speaker Peter Shalen described a program in low-dimensional topology that he called ``quantitative Mostow rigidity", which he and his collaborators have developed over many years, where an input lower bound on topological complexity leads to an output lower bound on hyperbolic volume among hyperbolic 3-manifolds. I will attempt to go into greater depth about the structure of this program, its main results so far and what they use, and what remains to do.