\(p\)-adic dynamics of Hecke operators on modular curves

DOI10.5802/jtnb.1165zbMath1477.11081arXiv1711.00269OpenAlexW3199781656MaRDI QIDQ2240424

Payman L. Kassaei, Eyal Z. Goren

Publication date: 3 November 2021

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.00269

zbMATH Keywords

modular curves\(p\)-adic dynamicsHecke operatorsGross-Hopkins period mapSerre-Tate coordinates

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Modular correspondences, etc. (11F32)

Related Items

\(H^0\) of Igusa varieties via automorphic forms, Supersingular curves you can trust, \(p\)-adic equidistribution of CM points, Solutions to arithmetic differential equations in algebraically closed fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Monodromy and irreducibility of leaves
• Equidistribution of special subvarieties
• On canonical and quasi-canonical liftings
• Two letters on quaternions and modular forms \(\pmod p\) (with an introduction, appendix and references by R. Livné)
• \(p\)-adic distribution of CM points and Hecke orbits. I: Convergence towards the Gauss point
• Optimal strong approximation for quadratic forms
• Adelic equidistribution of tori and equidistribution of CM points
• The crystals associated to Barsotti-Tate groups: with applications to Abelian schemes
• Random Walks on Reductive Groups
• Random walks on projective spaces
• Isogeny volcanoes
• Finiteness results for modular curves of genus at least 2
• Foliations in Moduli Spaces of Abelian Varieties and Dimension of Leaves
• The Arithmetic of Elliptic Curves
• Isotropic random walks in a tree
• Random Walks on Infinite Graphs and Groups
• Formal moduli for one-parameter formal Lie groups
• Ergodic Theory
• Convexity
• Canonical subgroups over Hilbert modular varieties