3 papers
math.NT2026
Classicality for Hilbert modular forms
Yuanyang Jiang
Let be a totally real number field. We prove that a character of the spherical Hecke algebra appearing in the completed cohomology of Hilbert modular varieties is modular if th…
math.NT2026
Differential operators on locally analytic Shimura varieties
Yuanyang Jiang
We investigate infinite-level Shimura varieties within the framework of analytic stacks of Clausen-Scholze, developing their smooth, completed, locally analytic, and de Rham realiz…
math.NT2026
Theta Operator Equals Fontaine Operator on Modular Curves
Yuanyang Jiang
Inspired by [Pan22], we give a new proof that for an overconvergent modular eigenform of weight with , assuming that its associated global Galois r…