On the rigid cohomology of certain Shimura varieties

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

doi:10.1186/s40687-016-0078-5

On the rigid cohomology of certain Shimura varieties

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

School of Mathematics

Research output: Contribution to journal › Article › peer-review

44 Scopus citations

Abstract

We construct the compatible system of 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 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 language	English (US)
Article number	37
Number of pages	308
Journal	Research in the Mathematical Sciences
Volume	3
Issue number	1
DOIs	https://doi.org/10.1186/s40687-016-0078-5
State	Published - 2016

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© 2016, The Author(s).

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10.1186/s40687-016-0078-5

https://www.repository.cam.ac.uk/handle/1810/256936

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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.",

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On the rigid cohomology of certain Shimura varieties

Abstract

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