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Seminar

Automorphisms of the smooth fine curve graph February 04, 2026 (11:00 AM PST - 12:00 PM PST)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Katherine Booth (Vanderbilt University)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Automorphisms of the smooth fine curve graph

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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.

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Automorphisms of the smooth fine curve graph