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Extensions of de Rham Galois representations
Zhongyipan Lin
We construct the parabolic version and the reductive version of the integral de Rham moduli stacks of Langlands parameters (). We allow the group to be arbitrarily ramified. W…
Heisenberg varieties and the existence of de Rham lifts
Zhongyipan Lin
We establish the existence of de Rham lifts of Langlands parameters (or Galois representations) for unitary, orthogonal and symplectic (similitude) groups of arbitrary rank. Our re…
A Deligne-Lusztig type correspondence for tame -adic groups
Zhongyipan Lin
We establish a "matrix simultaneous diagonalization theorem" for disconnected reductive groups which relaxes both the semisimplicity condition and the commutativity condition. As a…
Moduli stacks of generalized phi-modules
Zhongyipan Lin
Let be an arbitrary -adic field and let be an arbitrary reductive group over with Langlands dual group . We show that the change-of-group morphism of Emerton-Ge…