Develops Tate-Sen formalism for Galois representations over convergent de Rham period ring, proving cohomology finiteness under non-Liouville Sen weights and category equivalence for algebraic weights.
C onvergent p -adic R iemann-- H ilbert correspondence (tentative title)
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Galois representations over convergent de Rham period ring
Develops Tate-Sen formalism for Galois representations over convergent de Rham period ring, proving cohomology finiteness under non-Liouville Sen weights and category equivalence for algebraic weights.