A note on modularity lifting theorems in higher weights

DOI10.11650/tjm/8147zbMath1443.11094OpenAlexW2752127748MaRDI QIDQ1990378

Yih-Jeng Yu

Publication date: 25 October 2018

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1504836034

zbMATH Keywords

Hecke algebrasmonodromyvanishing cyclesShimura curvesGalois representationsmodularity lifting theoremsCherednik-Drinfel'd uniformizationsRamakrishna-Khare systems

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) Sheaves in algebraic geometry (14F06)

Related Items (2)

On the quantitative variation of congruence ideals and integral periods of modular forms ⋮ A note on special fibers of Shimura curves and special representations

Cites Work

• Regular models of certain Shimura varieties
• Lifting modular mod \(l\) representations
• Integral models of certain Shimura curves
• Finiteness of Selmer groups and deformation rings
• On isomorphisms between deformation rings and Hecke rings (with an Appendix by Gebhard Böckle)
• On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
• Pseudo representations
• Modular elliptic curves and Fermat's Last Theorem
• Ring-theoretic properties of certain Hecke algebras
• On deformation rings and Hecke rings
• A local-to-global principle for deformations of Galois representations
• Parametrizations of elliptic curves by Shimura curves and by classical modular curves
• Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert
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