Show simple item record

Level-raising and symmetric power functoriality, III

dc.creatorClozel, Laurent
dc.creatorThorne, Jack Arfon
dc.date.accessioned2018-11-24T23:26:40Z
dc.date.available2016-04-07T14:11:22Z
dc.date.available2018-11-24T23:26:40Z
dc.date.issued2016-12-09
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/254861
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3861
dc.description.abstractThe simplest case of the Langlands functoriality principle asserts the existence of the symmetric powers Symn of a cuspidal representation of GL.2/ over the adèles of F , where F is a number field. In 1978, Gelbart and Jacquet proved the existence of Sym2. After this, progress was slow, eventually leading, through the work of Kim and Shahidi, to the existence of Sym3 and Sym4. In this series of articles we revisit this problem using recent progress in the deformation theory of modular Galois representations. As a consequence, our methods apply only to classical modular forms on a totally real number field; the present article proves the existence, in this “classical” case, of Sym6 and Sym8.
dc.languageen
dc.publisherDuke University Press
dc.publisherDuke Mathematical Journal
dc.titleLevel-raising and symmetric power functoriality, III
dc.typeArticle


Files in this item

FilesSizeFormatView
Clozel_et_al-2016-Duke_Mathematical_Journal-AM.pdf678.6Kbapplication/pdfView/Open

This item appears in the following Collection(s)

Show simple item record