On the rigid cohomology of certain Shimura varieties

Michael Harris, Kai-Wen Lan, Richard Taylor, Jack Thorne

Research output: Contribution to journalArticle

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Abstract

We construct the compatible system of l-adic representations associated to a regular algebraic cuspidal automorphic representation of GLn over a CM (or totally real) field and check local–global compatibility for the l-adic representation away from l and a finite number of rational primes above which the CM field or the automorphic representation ramifies. The main innovation is that we impose no self-duality hypothesis on the automorphic representation.

Original languageEnglish (US)
Article number37
Number of pages308
JournalResearch in the Mathematical Sciences
Volume3
Issue number1
DOIs
StatePublished - 2016

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