Explicit Computation of a Galois Representation Attached to an Eigenform Over SL 3 from the He´t2 of a Surface

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dc.contributor.authorMascot, Nicolas
dc.contributor.departmentDepartment of Mathematics
dc.contributor.facultyFaculty of Arts and Sciences (FAS)
dc.contributor.institutionAmerican University of Beirut
dc.date.accessioned2025-01-24T11:24:44Z
dc.date.available2025-01-24T11:24:44Z
dc.date.issued2023
dc.description.abstractWe describe a method to compute mod ℓ Galois representations contained in the He´t2 of surfaces. We apply this method to the case of a representation with values in GL 3(F9) attached to an eigenform over a congruence subgroup of SL 3. We obtain, in particular, a polynomial with Galois group isomorphic to the simple group PSU 3(F9) and ramified at 2 and 3 only. © 2022, The Author(s).
dc.identifier.doihttps://doi.org/10.1007/s10208-021-09505-z
dc.identifier.eid2-s2.0-85122656400
dc.identifier.urihttp://hdl.handle.net/10938/26112
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofFoundations of Computational Mathematics
dc.sourceScopus
dc.subjectAlgorithm
dc.subjectAutomorphic form
dc.subjectDévissage
dc.subjectGalois representation
dc.subjectGl 3
dc.subjectSurface
dc.subjectUnitary group
dc.subjectÉtale cohomology
dc.subjectCohomology
dc.subjectEtale cohomology
dc.subjectGaloi representation
dc.subjectGalois group
dc.subjectGl 3
dc.subjectSimple groups
dc.titleExplicit Computation of a Galois Representation Attached to an Eigenform Over SL 3 from the He´t2 of a Surface
dc.typeArticle

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