Boyi Dai

collaborators

3 papers

math.NT2026

Comparison of component groups of $ℓ$ -adic and mod $ℓ$ monodromy groups

Boyi Dai, Chun Yin Hui

Let ${I ¨ _{ℓ} : Gal_{K} \to GL_{n} (Q_{ℓ})}_{ℓ}$ be a semisimple compatible system of $ℓ$ -adic representations of a number field $K$ that is arising…

math.NT2026

On irreducibility of six-dimensional compatible systems of $Q$

Boyi Dai

We study the irreducibility of 6-dimensional strictly compatible systems of Q with distinct Hodge-Tate weights. We prove that if one of the representations $I ¨ $ in such a system is…

math.NT2025

On irreducibility of certain low dimensional automorphic Galois representations

Boyi Dai

We study irreducibility of Galois representations $I ¨ _{I ¨ , I^»}$ associated to a $n = 7$ or 8-dimensional regular algebraic essentially self-dual cuspidal automorphic representation $Ï…

Comparison of component groups of ℓ-adic and mod ℓ monodromy groups

On irreducibility of six-dimensional compatible systems of Q

On irreducibility of certain low dimensional automorphic Galois representations

Comparison of component groups of $ℓ$ -adic and mod $ℓ$ monodromy groups

On irreducibility of six-dimensional compatible systems of $Q$