C. Johansson

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20122019

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math.NT2019

On subquotients of the etale cohomology of Shimura varieties

Christian Johansson, Jack A. Thorne

We study the conditions imposed by conjectures of Arthur and Kottwitz on the Galois representations occurring in the cohomology of Shimura varieties.

math.NT2018

Shimura varieties at level $Γ_{1} (p^{\infty})$ and Galois representations

Ana Caraiani, Daniel R. Gulotta, Chi-Yun Hsu +4

We show that the compactly supported cohomology of certain $U (n, n)$ or $Sp (2 n)$ -Shimura varieties with $Γ_{1} (p^{\infty})$ -level vanishes above the middle degree. The…

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 $p$ holds at all points of the $p$ -adic eigenvariety of a definite $n$ -variable unitary group. The novelty is we…

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…

On subquotients of the etale cohomology of Shimura varieties

Shimura varieties at level Γ1​(p∞) and Galois representations

Local Langlands correspondence in rigid families

Classicality for small slope overconvergent automorphic forms on some compact PEL Shimura varieties of type C

Shimura varieties at level $Γ_{1} (p^{\infty})$ and Galois representations