Modularity of PGL<sub>2</sub>(𝔽<i>p</i>)-representations over totally real fields.
Where this comes from
- Record sourced from PubMed, PMID 34385325.
- Also identified by DOI 10.1073/pnas.2108064118 and PMC identifier 8379929.
- Licence recorded as CC BY.
- The licence permits redistribution, so the abstract is shown in full and the full text is available from the publisher.
Abstract
We study an analog of Serre's modularity conjecture for projective representations [Formula: see text], where K is a totally real number field. We prove cases of this conjecture when [Formula: see text].