A Note on Modularity Lifting Theorems in Higher Weights

Yih-Jeng Yu

doi:10.11650/tjm/8147

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Home > Journals > Taiwanese J. Math. > Volume 22 > Issue 2 > Article

April, 2018 A Note on Modularity Lifting Theorems in Higher Weights

Yih-Jeng Yu

Taiwanese J. Math. 22(2): 275-300 (April, 2018). DOI: 10.11650/tjm/8147

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Abstract

We follow the ideas of Khare and Ramakrishna-Khare and prove the modularity lifting theorem in higher weights. This approach somehow differs from that using Taylor-Wiles systems.

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Yih-Jeng Yu. "A Note on Modularity Lifting Theorems in Higher Weights." Taiwanese J. Math. 22 (2) 275 - 300, April, 2018. https://doi.org/10.11650/tjm/8147

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Received: 19 February 2017; Revised: 8 June 2017; Accepted: 11 June 2017; Published: April, 2018

First available in Project Euclid: 8 September 2017

zbMATH: 06965370

MathSciNet: MR3780717

Digital Object Identifier: 10.11650/tjm/8147

Subjects:

Primary: 11F80 , 11G18 , 14D05 , 14F05 , 14G35

Keywords: Čerednik-Drinfel'd uniformizations , Galois representations , Hecke algebras , modularity lifting theorems , Monodromy , Ramakrishna-Khare systems , Shimura curves , vanishing cycles

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Taiwanese J. Math.

Vol.22 • No. 2 • April, 2018

Mathematical Society of the Republic of China

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Yih-Jeng Yu "A Note on Modularity Lifting Theorems in Higher Weights," Taiwanese Journal of Mathematics, Taiwanese J. Math. 22(2), 275-300, (April, 2018)

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