dc.creator | Hansen, D | |
dc.creator | Thorne, Jack Arfon | |
dc.date.accessioned | 2016-12-14 | |
dc.date.accessioned | 2018-11-24T23:27:03Z | |
dc.date.available | 2017-03-09T13:19:20Z | |
dc.date.available | 2018-11-24T23:27:03Z | |
dc.identifier | https://www.repository.cam.ac.uk/handle/1810/262970 | |
dc.identifier.uri | http://repository.aust.edu.ng/xmlui/handle/123456789/3938 | |
dc.description.abstract | Let π be a cuspidal, cohomological automorphic representation of GL$_{n}$(A). Venkatesh has suggested that there should exist a natural action of the exterior algebra of a certain motivic cohomology group on the π-part of the Betti cohomology (with rational coefficients) of the GL$_{n}$(Q)-arithmetic locally symmetric space. Venkatesh has given evidence for this conjecture by showing that its ‘l-adic realization’ is a consequence of the Taylor–Wiles formalism. We show that its ‘p-adic realization’ is related to the properties of eigenvarieties. | |
dc.language | en | |
dc.publisher | Springer | |
dc.publisher | Selecta Mathematica, New Series | |
dc.rights | http://creativecommons.org/licenses/by/4.0/ | |
dc.rights | http://creativecommons.org/licenses/by/4.0/ | |
dc.rights | http://creativecommons.org/licenses/by/4.0/ | |
dc.rights | Attribution 4.0 International | |
dc.rights | Attribution 4.0 International | |
dc.rights | Attribution 4.0 International | |
dc.title | On the GL$_{n}$-eigenvariety and a conjecture of Venkatesh | |
dc.type | Article | |