3 papers
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.RT2015
A canonical dimension estimate for non-split semisimple p-adic Lie groups
Konstantin Ardakov, Christian Johansson
We prove that the canonical dimension of an admissible Banach space or a locally analytic representation of an arbitrary semisimple p-adic Lie group is either zero or at least half…
math.NT2012
Classicality for small slope overconvergent automorphic forms on some compact PEL Shimura varieties of type C
Christian Johansson
We study the rigid cohomology of the ordinary locus in some compact PEL Shimura varieties of type C with values in automorphic local systems and use it to prove a small slope crite…