Hill, R;
(2007)
Construction of Eigenvarieties in Small Cohomological Dimensions for Semi-Simple, Simply Connected Groups.
Documenta Mathematica
, 12
pp. 363-397.
10.4171/DM/228.
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Abstract
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.
| Type: | Article |
|---|---|
| Title: | Construction of Eigenvarieties in Small Cohomological Dimensions for Semi-Simple, Simply Connected Groups |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4171/DM/228 |
| Publisher version: | https://doi.org/10.4171/DM/228 |
| Language: | English |
| Additional information: | Copyright © The Author 2007. This article is licensed under the terms of the Creative Commons Attribution 4.0 International (CC BY 4.0) Licence (https://creativecommons.org/licenses/by/4.0/). |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10160058 |
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