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下記より
”4.2. Perfectoid Shimura varieties”か
”Hida theory”：Haruzo Hida https://en.wikipedia.org/wiki/Haruzo_Hida
Hida received in 1992 for his research on p-adic L-functions of algebraic groups and p-adic Hecke rings the Spring Prize of the Mathematical Society of Japan.[3] In 2012 he was elected a Fellow of the American Mathematical Society.[4] He received the 2019 Leroy P. Steele Prize for Seminal Contribution to Research for his highly original paper "Galois representations into GL2({Z}}p[[X]]) attached to ordinary cusp forms," published in 1986 in Inventiones Mathematicae.[5]

(参考)
https://arxiv.org/pdf/2502.20645
MODULARITY THEOREMS FOR ABELIAN SURFACES
GEORGE BOXER,FRANK CALEGARI,TOBY GEE,AND VINCENT PILLONI

Abstract
We employ a 2–3 switch and a new classicality theorem(in the style of Lue Pan) for ordinary p-adic Siegel modular forms.

Contents
4. p-adic Eichler–Shimura theory 67
4.1. Introduction 67
4.2. Perfectoid Shimura varieties 70
4.3. Smooth and locally analytic vectors of the structure sheaf 71
4.4. Completed cohomology 71

7.3. Higher Hida theory 163