Construction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups

Details Construction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups Construction of eigenvarieties in small cohomological dimensions for semi-simple, simply connected groups

2007-06-25

arxiv.org/abs/0706.3670v1

Mathematics

Number Theory

Scientific paper

We study low order terms of Emerton's spectral sequence for simply connected,
simple groups. As a result, for real rank 1 groups, we show that Emerton's
method for constructing eigenvarieties is successful in cohomological dimension
1. For real rank 2 groups, we show that a slight modification of Emerton's
method allows one to construct eigenvarieties in cohomological dimension 2.

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