4 papers
math.NT2026
Algorithmic universal étale -modules
Zhongyipan Lin
Let be a finite extension and let be a connected reductive group with connected center satisfying (the Coxeter number). We write down…
math.NT2025
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…
math.NT2025
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…
math.NT2025
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…