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Seminario Teoría de Grupos 4/11/21
Seminario Teoría de Grupos 4/11/21
Aula Naranja (ICMAT)
Online: https://conectaha.csic.es/b/yag-mxb-nuz-m1o
Hora: 10:30
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.
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.
Localización Aula Naranja (ICMAT) Online: https://conectaha.csic.es/b/yag-mxb-nuz-m1o Hora: 10:30