Lethbridge Number Theory and Combinatorics Seminar: Gabriel Verret

One version of the Polycirculant Conjecture is that every finite vertex-transitive digraph admits a non-trivial semiregular automorphism. I will give an overview of the status of this conjecture, as well as describe some recent progress with Michael Giudici, Ademir Hujdurovic and Istvan Kovacs.