Branching laws for general linear groups over local fields

Abstract: Branching laws describe how a representation is decomposed when restricted to some subgroups. For general linear groups over local fields, we have a complete Langlands classification for irreducible representations. This talk aims for describing components for algorithms in computing quotient branching laws in terms of Langlands parameters for $\mathrm{GL}(\mathbb Q_p)$, and some examples computed by Basudev Pattanayak. If time permits, I will describe some perspectives on real groups from using the Ciubotaru-Trapa functor for $\mathbb R$, and a generalization to $\mathbb C$ in a joint work with Daniel Wong (CUHK, Shenzhen).

number theoryrepresentation theory

Audience: researchers in the topic

University of Utah Representation Theory / Number Theory Seminar