Author
Johansson, C
Newton, J
Sorensen, C
Journal title
Pacific Journal of Mathematics
DOI
10.2140/pjm.2020.304.65
Issue
1
Volume
304
Last updated
2024-03-23T04:49:25.64+00:00
Page
65-102
Abstract
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 coherent sheaf. We employ techniques of Chenevier and Scholze used in Scholze's proof of the local Langlands conjecture for GLn.
Symplectic ID
1193796
Favourite
Off
Publication type
Journal Article
Publication date
01 Jan 2020
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