Outputs (2)

Ihara’s Lemma for Shimura curves over totally real fields via patching (2020)
Journal Article
Manning, J., & Shotton, J. (2021). Ihara’s Lemma for Shimura curves over totally real fields via patching. Mathematische Annalen, 379, 187-234. https://doi.org/10.1007/s00208-020-02048-8

We prove Ihara’s lemma for the mod l cohomology of Shimura curves, localized at a maximal ideal of the Hecke algebra, under a large image hypothesis on the associated Galois representation. This was proved by Diamond and Taylor, for Shimura curves ov... Read More about Ihara’s Lemma for Shimura curves over totally real fields via patching.

The category of finitely presented smooth mod p representations of GL_2(F) (2020)
Journal Article
Shotton, J. (2020). The category of finitely presented smooth mod p representations of GL_2(F). Documenta Mathematica, 25, 143-157. https://doi.org/10.25537/dm.2020v25.143-157