Sesión Álgebra, Teoría de Números y TopologíaSylow Branching coefficients and the McKay conjecture
Eugenio Giannelli
Università degli Studi di Firenze, Italy - Esta dirección de correo electrónico está siendo protegida contra los robots de spam. Necesita tener JavaScript habilitado para poder verlo.
Let $G$ be a finite group, let $p$ be a prime and let $P$ be a Sylow $p$-subgroup of $G$. Motivated by the interest of the community around the "Global-Local Conjectures", over the last few years I have been studying the decomposition into irreducible constituents of the restriction to $P$ of irreducible characters of $G$. The multiplicities describing this restriction process are known as Sylow Branching Coefficients (SBCs). In this talk, I will present some recent results on SBCs [1], and I will explain how these results led me to formulate a new refinement of the McKay Conjecture [2].
Referencias
[1] E. Giannelli and S. Law, Sylow branching trees for symmetric groups. To appear in Transactions of the American Mathematical Society.
[2] E. Giannelli, McKay bijections and character degrees. Preprint arXiv:2507.01730v2.