We prove a minimal modularity lifting theorem for Galois representations (conjecturally) associated to Siegel modular forms of genus which are holomorphic limits of discrete series at infinity.
"Minimal modularity lifting for nonregular symplectic representations." Duke Math. J. 169 (5) 801 - 896, 1 April 2020. https://doi.org/10.1215/00127094-2019-0044