# On the rigid cohomology of certain Shimura varieties.

 dc.creator Harris, Michael dc.creator Lan, Kai-Wen dc.creator Taylor, Richard dc.creator Thorne, Jack Arfon dc.date.accessioned 2016-06-23 dc.date.accessioned 2018-11-24T23:26:49Z dc.date.available 2016-08-01T16:11:53Z dc.date.available 2018-11-24T23:26:49Z dc.date.issued 2016 dc.identifier https://www.repository.cam.ac.uk/handle/1810/256936 dc.identifier.uri http://repository.aust.edu.ng/xmlui/handle/123456789/3894 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.language en dc.publisher Springer dc.publisher Research in the Mathematical Sciences dc.title On the rigid cohomology of certain Shimura varieties. dc.type Article
﻿

## Files in this item

FilesSizeFormatView
Harris_et_al-20 ... thematical_Sciences-AM.pdf1.716Mbapplication/pdfView/Open