Uniform perfection: a DIFF-icult situation

Series
Geometry Topology Student Seminar
Time
Wednesday, February 15, 2023 - 2:00pm for
Location
Skiles 006
Speaker
Roberta Shapiro – Georgia Tech
Organizer
Daniel Minahan

Have you ever wanted to marry topology, hyperbolic geometry, and geometric group theory, all at once?* Bowden-Hensel-Webb do this and more when they embark on their study of Diff0(S). In this talk, we will discuss the main theorems of Bowden-Hensel-Webb's paper, the most notable of which is (arguably) the lack of uniform perfection of Diff0(S). We will then summarize the main tools they use to prove these results. (Note: the perspectives on Diff0(S) in this talk will DIFFer greatly from those used in the diffeomorphism groups class.) 

 

*If you answered "yes" for your personal life as opposed to your academic life: that's ok, I won't judge (if you don't tell me).