eprintid: 37240
rev_number: 13
eprint_status: archive
userid: 9257
dir: disk0/00/03/72/40
datestamp: 2025-09-09 10:10:39
lastmod: 2025-09-10 08:31:35
status_changed: 2025-09-09 10:10:39
type: doctoralThesis
metadata_visibility: show
creators_name: Shavali Kohshor, Alireza
title: On the Image of Automorphic Galois Representations
subjects: ddc-510
divisions: i-110400
adv_faculty: af-11
cterms_swd: Galois Representations
cterms_swd: Automorphic Representations
abstract: 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
id_scheme: DOI
id_number: 10.11588/heidok.00037240
ppn_swb: 1935530658
own_urn: urn:nbn:de:bsz:16-heidok-372409
date_accepted: 2025-07-23
advisor: HASH(0x5638d5ee4118)
language: eng
bibsort: SHAVALIKOHONTHEIMAGE20250903
full_text_status: public
place_of_pub: Heidelberg
citation:   Shavali Kohshor, Alireza  (2025) On the Image of Automorphic Galois Representations.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/37240/1/Final_PhD_Thesis_Shavali.pdf