Seminario Teoría de Grupos 4/11/21
Aula Naranja (ICMAT)
Speaker: Eugienio Gianelli (Università degli Studi di Firenze)
Title: On Sylow Branching Coefficients
Abstract: Let p be a prime, let G be a finite group and let P be a Sylow p-subgroup of G.
Over the last couple of years I have been interested in studying the structure of the
restriction to P of any irreducible character of G. More precisely, if χ ∈ Irr(G) then
the restriction χ P decomposes into the sum of irreducible characters of P appearing
with integer multipicities. These multiplicities are called Sylow Branching Coefficients
(SBCs). In this talk I will present some new results concerning SBCs in the case where
G is the symmetric group. Moreover, I will mention how the study of this topic allowed
us to prove a Conjecture formulated by Malle and Navarro in 2012.
This talk is based on joint works with Stacey Law, Jason Long, Carolina Vallejo
and Giada Volpato.
Location Aula Naranja (ICMAT) Online: https://conectaha.csic.es/b/yag-mxb-nuz-m1o Hora: 10:30