dc.contributor.author Harris, Michael en dc.contributor.author Lan, Kai-Wen en dc.contributor.author Taylor, Richard en dc.contributor.author Thorne, Jack en dc.date.accessioned 2016-08-01T16:11:53Z dc.date.available 2016-08-01T16:11:53Z dc.date.issued 2016 en dc.identifier.uri https://www.repository.cam.ac.uk/handle/1810/256936 dc.description.abstract We 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.sponsorship M.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.language English en dc.language.iso en en dc.publisher Springer dc.title On the rigid cohomology of certain Shimura varieties. en dc.type Article dc.description.version This is the author accepted manuscript. It is currently under an indefinite embargo pending publication by Springer. en prism.publicationDate 2016 en prism.publicationName Research in the Mathematical Sciences en dc.identifier.doi 10.17863/CAM.868 dcterms.dateAccepted 2016-06-23 en rioxxterms.version AM en rioxxterms.licenseref.uri http://www.rioxx.net/licenses/all-rights-reserved en rioxxterms.licenseref.startdate 2016 en rioxxterms.type Journal Article/Review en cam.orpheus.success Thu Jan 30 12:57:30 GMT 2020 - Embargo updated * rioxxterms.freetoread.startdate 2017-12-31
﻿