Local langlands correspondence in rigid families

We show that local-global compatibility (at split primes) away from p holds at all points of the p-adic eigenvariety of a definite n-variable unitary group. We do this by interpolating the local Langlands correspondence for GLn across the eigenvariety by considering the fibers of its defining cohere...

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Bibliographic Details
Main Authors: Johansson, C, Newton, J, Sorensen, C
Format: Journal article
Language:English
Published: Mathematical Sciences Publishers 2020