Change of weights for locally analytic representations of \rmGL₂(ℚ_p)

2023/07/10 by Ding, Yiwen
#FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2307.04332

Abstract

Let D₁⊂ D₂ be (φ, Γ)-modules of rank 2 over the Robba ring, and π(D₁), π(D₂) be the associated locally analytic representations of \rmGL₂(ℚ_p) via the p-adic local Langlands correspondence. We describe the relation between π(D₁) and π(D₂).

Related

• Geometric translations of (φ,Γ)-modules for GL₂(ℚ_p)
• Arithmetic families of (φ, Γ)-modules and locally analytic representations of GL₂(Q_p)
• Fonctions d'une variable p-adique et représentations de \rm GL₂(Q_p)
• Towards the wall-crossing of locally ℚ_p-analytic representations of GL_n(K) for a p-adic field K
• The p-adic local Langlands correspondence for GL₂(Q_p)