38 citations · 116 across the 17 of their papers we have counts for
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math.NT2017
Local Langlands correspondence in rigid families
Christian Johansson, James Newton, Claus Sorensen
We show that local-global compatibility (at split primes) away from holds at all points of the -adic eigenvariety of a definite -variable unitary group. The novelty is we…
math.NT2017★ 2 cited
Irreducible components of extended eigenvarieties and interpolating Langlands functoriality
Christian Johansson, James Newton
We study the basic geometry of a class of analytic adic spaces that arise in the study of the extended (or adic) eigenvarieties constructed by Andreatta--Iovita--Pilloni, Gulotta a…
math.NT2017
Irreducible components of the eigencurve of finite degree are finite over the weight space
Shin Hattori, James Newton
Let p be a rational prime and N a positive integer which is prime to p. Let W be the p-adic weight space for GL_{2,Q}. Let C_N be the p-adic Coleman-Mazur eigencurve of tame level…