Lifting non-ordinary cohomology classes for SL3
Williams, Chris (Imperial College London. Department of Mathematics)

Data:	2018
Resum:	In this paper, we present a generalisation of a theorem of David and Rob Pollack. In [PP], they give a very general argument for lifting ordinary eigenclasses(with respect to a suitable operator) in the group cohomology of certain arithmetic groups. With slightly tighter conditions, we prove the same result for non-ordinary classes. Pollack and Pollack apply their results to the case of p-ordinary classes in the group cohomology of congruence subgroups for SL3, constructing explicit overconvergent classes in this setting. As an application of our results, we give an extension of their results to the case of non-critical slope classes in the same setting.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	Overconvergent ; Control theorem ; Modular symbols ; SL3
Publicat a:	Publicacions matemàtiques, Vol. 62 Núm. 2 (2018) , p. 651-675 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/338224
DOI: 10.5565/PUBLMAT6221810

25 p, 537.2 KB

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