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math.NT2022
Remarks on the inverse Galois problem over function fields
Shiang Tang
In this paper, we prove new instances of the inverse Galois problem over global function fields for finite groups of Lie type. This is done by constructing compatible systems of $\…
math.NT2022
Lifting -Valued Galois Representations when
Jeremy Booher, Sean Cotner, Shiang Tang
In this paper we study the universal lifting spaces of local Galois representations valued in arbitrary reductive group schemes when . In particular, under certain tec…
math.NT2022
A note on Galois representations valued in reductive groups with open image
Shiang Tang
Let be a split reductive group with . We show that for any prime that is large enough relative to , there is a finitely ramified Galois representation…