Eoghan McDowell

(Spin) representations of the symmetric group with the same p-modular reductions

When do two ordinary irreducible representations of a group have the same p-modular reduction? Equivalently, when do two ordinary irreducible characters have the same values on p-regular classes? I will present an (almost complete) answer to this question for the double cover of the symmetric group. I will also discuss some of the techniques used in the proofs, which include applications of central characters and of induction and restriction functors. Part of this work is joint with Matt Fayers.