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math.NT2022
Deformation of rigid Galois representations and cohomology of certain quaternionic unitary Shimura variety
Haining Wang
In this article, we use deformation theory of Galois representations valued in the symplectic group of degree four to prove a freeness result for the cohomology of certain quaterni…
math.NT2022
Arithmetic level raising for certain quaternionic unitary Shimura variety
Haining Wang
In this article we prove an arithmetic level raising theorem for the symplectic group of degree four in the ramified case. This result is a key step towards the Beilinson-Bloch-Kat…