p'branching for symmetric groups
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 Stacey Law, University of Cambridge
 Friday 13 October 2017, 15:0016:00
 CMS, MR14.
If you have a question about this talk, please contact Nicolas DuprÃ©.
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_{n1}, 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/Logic/Number Theory seminar series.
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