Show simple item record

dc.contributor.authorHarris, Michaelen
dc.contributor.authorLan, Kai-Wenen
dc.contributor.authorTaylor, Richarden
dc.contributor.authorThorne, Jacken
dc.date.accessioned2016-08-01T16:11:53Z
dc.date.available2016-08-01T16:11:53Z
dc.date.issued2016en
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/256936
dc.description.abstractWe construct the compatible system of $\textit{l}$-adic representations associated to a regular algebraic cuspidal automorphic representation of GL$_{n}$ over a CM (or totally real) field and check local-global compatibility for the $\textit{l}$-adic representation away from $\textit{l}$ and finite number of rational primes above which the CM field or the automorphic representation ramify. The main innovation is that we impose no self-duality hypothesis on the automorphic representation.
dc.description.sponsorshipM.H.'s research received funding from the European Research Council under the European Community's Seventh Framework Programme (FP7/2007-2013) / ERC Grant agreement number 290766 (AAMOT). K.-W.L.'s research was partially supported by NSF Grants DMS-1069154, DMS-1258962, and DMS-1352216, and by an Alfred P. Sloan Research Fellowship. R.T.'s research was partially supported by NSF Grants DMS-0600716, DMS-1062759, and DMS-1252158, and by the IAS Oswald Veblen and Simonyi Funds. During some of the period when this research was being written up J.T. served as a Clay Research Fellow.
dc.languageEnglishen
dc.language.isoenen
dc.publisherSpringer
dc.titleOn the rigid cohomology of certain Shimura varieties.en
dc.typeArticle
dc.description.versionThis is the author accepted manuscript. It is currently under an indefinite embargo pending publication by Springer.en
prism.publicationDate2016en
prism.publicationNameResearch in the Mathematical Sciencesen
dc.identifier.doi10.17863/CAM.868
dcterms.dateAccepted2016-06-23en
rioxxterms.versionAMen
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2016en
rioxxterms.typeJournal Article/Reviewen
cam.orpheus.successThu Jan 30 12:57:30 GMT 2020 - Embargo updated*
rioxxterms.freetoread.startdate2017-12-31


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record