Automorphisms of the Smooth Fine Curve Graph

Series
Dissertation Defense
Time
Tuesday, March 25, 2025 - 1:00pm for 1.5 hours (actually 80 minutes)
Location
Skiles 006
Speaker
Katherine Booth – Georgia Tech – kbooth8@gatech.edu
Organizer
Katherine Booth

The smooth fine curve graph of a surface provides a combinatorial perspective to study the action of maps on smooth curves in the surface. It is natural to guess that the automorphism group of the smooth fine curve graph is isomorphic to the diffeomorphism group of the surface. But it has recently been shown that this is not the case. In this talk, I will give several more examples with increasingly wild behavior and give a characterization of this automorphism group for the particular case of continuously differentiable curves.

Committee:

  • Dan Margalit (advisor)
  • John Etnyre
  • Jen Hom
  • Igor Belegradek 
  • Michael Wolf