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On the rigid cohomology of certain Shimura varieties.

dc.creatorHarris, Michael
dc.creatorLan, Kai-Wen
dc.creatorTaylor, Richard
dc.creatorThorne, Jack Arfon
dc.date.accessioned2016-06-23
dc.date.accessioned2018-11-24T23:26:49Z
dc.date.available2016-08-01T16:11:53Z
dc.date.available2018-11-24T23:26:49Z
dc.date.issued2016
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/256936
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3894
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.languageen
dc.publisherSpringer
dc.publisherResearch in the Mathematical Sciences
dc.titleOn the rigid cohomology of certain Shimura varieties.
dc.typeArticle


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