A trace formula approach to control theorems for overconvergent automorphic forms
Number Theory
2015-10-09 v2
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.
Keywords
Cite
@article{arxiv.1309.7239,
title = {A trace formula approach to control theorems for overconvergent automorphic forms},
author = {Christian Johansson},
journal= {arXiv preprint arXiv:1309.7239},
year = {2015}
}
Comments
25 pages. Main results strengthened, higher level version included