An ordinary rank-two case of local-global compatibility for automorphic representations of arbitrary weight over CM fields

We prove a rank-two potential automorphy theorem for mod l representations satisfying an ordinary condition. Combined with an ordinary automorphy lifting theorem, we prove a rank-two, p-not-equal-to-l case of local-global compatibility for regular algebraic cuspidal automorphic representations of arbitrary weight over CM fields that is iota-ordinary.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2022

Author dc:creator

• Yang, Yuji

Contributors dc:contributor

• Allen, Patrick Brodie
• Ahlgren, Scott
• Duursma, Iwan M
• Thorner, Jesse Aaron

• ordinary
• local-global compatibility

Statement dc:rights

• Copyright 2022 Yuji Yang

Language dc:language

en, eng

Handle dc:identifier

https://hdl.handle.net/2142/115462

OAI record oai:identifier

https://www.ideals.illinois.edu/oai-pmh?verb=GetRecord&metadataPrefix=etdms&identifier=oai%3Awww.ideals.illinois.edu%3A2142%2F115462