2025. 06. 03. 11:15 - 2025. 06. 03. 12:30
Turán lecture room
Lecturer: Alberto Minguez
Affiliation: Universität Wien
Event type: seminar
Organizer: Institute
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Seminar on automorphic forms

Description

Let $\pi$ and $\pi’$ be two $\ell$-adic irreducible cuspidal representations of a quasi-split classical group $G$, and let $\sigma$ and $\sigma’$ be their respective Langlands’s transfers to $GL(N)$. Assume that $\pi$ and $\pi’$ are integral, and denote by $r_\ell(\pi)$ and $r_\ell(\pi')$ their reductions modulo $\ell$. We will show that if $r_\ell(\pi) \leq r_\ell(\pi’)$, then $r_\ell(\sigma$) and $r_\ell(\sigma’)$ have a unique generic irreducible component in common. This is joint work with Vincent Sécherre.