Algebra seminar in Lincoln: talk by Stacey Law

On Wednesday the 14th of February, Stacey Law (Cambridge) visited Lincoln and gave a talk “On the p’-subgraph of the Young graph“.

Abstract: Let $p$ be a prime number and $n$ any natural number. Let $\chi$ be an ordinary irreducible character of the symmetric group ${\frak S}_n$ whose degree is coprime to $p$ . We study the number of $p'$ -irreducible constituents of the restriction and induction to ${\frak S}_{n-1}$ and ${\frak S}_{n+1}$ , respectively. This generalizes the work of Ayyer, Prasad, and Spallone for the prime $p=2$ . This is joint work with E. Giannelli and S. Martin.