Families of symplectic Galois representations over small parabolic eigenvarieties for Siegel cuspforms of genus $2$

Muhammad Manji, Frederick E. Thøgersen, Ju-Feng Wu

We construct small parabolic eigenvarieties for holomorphic Siegel cuspforms of genus $2$ and study families of Galois representations attached to them in the spirit of Bellaïche--…