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Title: The conjugacy problem for Dehn twist automorphisms of groups

Abstract: A Dehn twist automorphism of an arbitrary group is an algebraic generalization of a Dehn twist homeomorphism of a surface, defined in terms of a graph-of-groups decomposition of the group. Cohen and Lustig developed an algorithm to solve the conjugacy problem for Dehn twists of non-abelian free groups. We generalize the results of Cohen-Lustig to free products of finitely generated free abelian groups. Our main tool is the construction of a canonical (acylindrical) graph-of-groups decomposition of the mapping torus of the Dehn twist automorphism. This is joint work with Bratati Som and Amir Weiss.

We will gather in the lounge for teatime after the talk.