The explicit Local Langlands Correspondence for $\mathrm{GSp}_4$, $\mathrm{Sp}_4$ and stability (with an application to Modularity Lifting)
Number Theory
2023-05-09 v2 Representation Theory
Abstract
We give a purely local proof of the explicit Local Langlands Correspondence for and . Moreover, we give a unique characterization in terms of stability of -packets and other properties. Finally, in the appendix, we give an application of our explicit local Langlands correspondence to modularity lifting.
Cite
@article{arxiv.2304.02622,
title = {The explicit Local Langlands Correspondence for $\mathrm{GSp}_4$, $\mathrm{Sp}_4$ and stability (with an application to Modularity Lifting)},
author = {Kenta Suzuki and Yujie Xu},
journal= {arXiv preprint arXiv:2304.02622},
year = {2023}
}
Comments
44 pages