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arXiv · 1309.7239

A trace formula approach to control theorems for overconvergent automorphic forms

Christian Johansson
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Abstract

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- mology of the multiplicative ordinary locus and the rigid cohomology of the overlying Igusa tower, the latter which may be computed using the Harris-Taylor version of the Langlands-Kottwitz method. We also prove a higher level version, generalizing work of Coleman.

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Christian Johansson. 2013-09-27. A trace formula approach to control theorems for overconvergent automorphic forms. https://arxiv.org/abs/1309.7239

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