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math.NT2019
A note on critical -adic -functions
Yiwen Ding
We study the adjunction property of the Jacquet-Emerton functor in certain neighborhoods of critical points in the eigencurve. As an application, we construct two-variable -adic…
math.NT2019★ 1 cited
-ordinary families and automorphy lifting
Yiwen Ding
We prove automorphy lifting results for certain essentially conjugate self-dual -adic Galois representations over CM imaginary fields , which satisfy in particular that $…
math.NT2019
Sur un problème de compatibilité local-global localement analytique
Christophe Breuil, Yiwen Ding
We reinterpret a conjecture of Breuil on the locally analytic in a functorial way using -modules (possibly with -torsion) over the Robba ring, making it…