Alireza Shavali (Heidelberg University): Link to Galois deformation theory

Explain some background on Galois deformation theory (cf. [Gee22, §2,§3], [B¨oc13, §1, §3.2]) focusing on introducing the universal framed deformation ring Rρ□ of a local Galois representation ρ : GF → GLn(Fℓ). For G = GLn, show that the completion of the local ring of the moduli space of L-parameters at an Fℓ-point x ρ recovers Rρ□ (cf. [Hel20b], [Zhu20, p.20-21]).

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