p'-branching for symmetric groups

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• Stacey Law, University of Cambridge
• Friday 13 October 2017, 15:00-16:00
• CMS, MR14.

If you have a question about this talk, please contact Nicolas Dupré.

Let p be any prime and n be any natural number. Let \chi be a p’-irreducible character of the symmetric group S_n, that is, whose degree is coprime to p. We bound the number of p’-irreducible constituents of the restriction of \chi to S_{n-1}, and also the number of such constituents in the induction of \chi to S_{n+1}. This generalizes work of Ayyer, Prasad and Spallone for the prime p=2. This is joint work with E. Giannelli and S. Martin.

This talk is part of the Junior Algebra and Number Theory seminar series.

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