title: On the Image of Automorphic Galois Representations
creator: Shavali Kohshor, Alireza
subject: ddc-510
subject: 510 Mathematics
description: Under the Langlands philosophy, there should be a correspondence between certain automorphic representations of GL(n), certain n-dimensional Galois representations, and motives over number fields. There is a folklore heuristic that the image of the Galois representation should be as big as possible unless there is an automorphic reason for it not to be. In this thesis, we will formulate a precise conjecture in this direction, assuming some standard conjectures in the literature. In the n=2 case, this follows from the work of Ribet, Momose, and Nekovar. We are able to prove this conjecture unconditionally in the n=3 case.
date: 2025
type: Dissertation
type: info:eu-repo/semantics/doctoralThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserver/37240/1/Final_PhD_Thesis_Shavali.pdf
identifier: DOI:10.11588/heidok.00037240
identifier: urn:nbn:de:bsz:16-heidok-372409
identifier:   Shavali Kohshor, Alireza  (2025) On the Image of Automorphic Galois Representations.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/37240/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng