Seminar des SFB/TRR 326 GAUS Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations
- Date in the past
- Friday, 20. October 2023, 13:30
- INF 205, SR A
- Prof. Dr. Chun Yin Hui, University of Hongkong
Address
INF 205, SR A
Organizer
Prof. Gebhard Boeckle
Event Type
Talk
Given a compatible system {ρλ : GalK → GLn(Eλ)}λ of semisimple λ-adic representations of a number field K satisfying mild local conditions, we prove that for almost all λ any type A irreducible subrepresentation of ρλ ⊗ Ql is residually irreducible. We apply this result and some potential automorphy theorem to prove that ρλ ⊗ Ql is residually irreducible for almost all λ if the compatible system is attached to a regular algebraic, polarized, cuspidal automorphic representation of GLn(AQ) and n ≤ 6.