The proof demonstrates the weight part of Serre's conjecture for Galois representations in GSp4, highlighting tamely ramified cases and explicit genericity.
We prove the weight part of Serre's conjecture for Galois representations valued in GSp₄ that are tamely ramified with explicit genericity at places above p as conjectured by Herzig--Tilouine and Gee--Herzig--Savitt. This improves on arXiv:2304.13879 where an inexplicit genericity hypothesis was required. As an application, we prove a modularity lifting theorem for GSp₄ under similar assumptions.
No takes yet. Share an insight, caveat, or question.
Le et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: