2026-09-22T06:19:01Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/115462 2023-07-11 col_2142_5131 col_2142_16340 com_2142_5130 com_2142_16339 com_2142_8903

Allen, Patrick Brodie Ahlgren, Scott Duursma, Iwan M Thorner, Jesse Aaron 2022-05 application/pdf en text Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-11 without embargo terms The student, Yuji Yang, accepted the attached license on 2022-04-15 at 00:04. The student, Yuji Yang, submitted this Dissertation for approval on 2022-04-15 at 00:30. This Dissertation was approved for publication on 2022-04-15 at 16:54. DSpace SAF Submission Ingestion Package generated from Vireo submission #17694 on 2022-11-11 at 13:15:18 An ordinary rank-two case of local-global compatibility for automorphic representations of arbitrary weight over CM fields Yang, Yuji 2022-04-15 ordinary local-global compatibility 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. Thesis eng https://hdl.handle.net/2142/115462 Copyright 2022 Yuji Yang Ph.D. Dissertation Mathematics University of Illinois at Urbana-Champaign Mathematics