# Automorphisms of the Complex of

Separating Curves in Genus 3

## John D. McCarthy

(This is joint work with Bill Vautaw.) In their
paper, "Commensurations of the Johnson kernel", Brendle-Margalit proved
that every automorphism of the complex of separating curves,
**C**_{s}(S), of a closed oriented surface **S** of genus
at least **4** is induced by a self-homeomorphism of **S**. In
this series of talks, we outline a proof of the same statement for a closed
oriented surface **S** of genus **3**, which proof can be adapted
to genus at least **3**.