The explicit Local Langlands Correspondence for ${\mathrm{GSp}}_4$, ${\mathrm{Sp}}_4$ and stability (with an application to Modularity Lifting)

Kenta Suzuki, Yujie Xu

We give a purely local proof of the explicit Local Langlands Correspondence for ${\mathrm{GSp}}_4$ and ${\mathrm{Sp}}_4$. Moreover, we give a unique characterization in terms of stabil…