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math.NT2013
A trace formula approach to control theorems for overconvergent automorphic forms
Christian Johansson
We present an approach to proving control theorems for overconvergent automorphic forms on some Harris-Taylor unitary Shimura varieties based on a comparison between the rigid coho…
math.NT2013
On the Sato-Tate conjecture for non-generic abelian surfaces
Christian Johansson
We prove many non-generic cases of the Sato-Tate conjecture for abelian surfaces as formulated by Fite, Kedlaya, Rotger and Sutherland, using the potential automorphy theorems of B…