most citedWiles defect of Hecke algebras via local-global arguments

1 citations · 1 across the 1 of their papers we have counts for

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3 papers

math.NT2021★ 1 cited

Wiles defect of Hecke algebras via local-global arguments

Gebhard Boeckle, Chandrashekhar B. Khare, Jeffrey Manning

We continue our study of the Wiles defect of deformation rings and Hecke rings (at a newform ) acting on the cohomology of Shimura curves. The Wiles defect at an augment…

math.NT2019

Wiles defect for Hecke algebras that are not complete intersections

Gebhard Boeckle, Chandrashekhar Khare, Jeffrey Manning

In his work on modularity theorems, Wiles proved a numerical criterion for a map of rings to be an isomorphism of complete intersections. He used this to show that certain…

math.NT2019

Patching and Multiplicity for Shimura Curves

Jeffrey Manning

We use the Taylor-Wiles-Kisin patching method to investigate the multiplicities with which Galois representations occur in the mod cohomology of Shimura curves over totally…