Skip to main content Accessibility help
×
Home
Hostname: page-component-559fc8cf4f-6f8dk Total loading time: 0.301 Render date: 2021-03-07T10:18:48.892Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "metricsAbstractViews": false, "figures": false, "newCiteModal": false, "newCitedByModal": true }

$L$ -INDISTINGUISHABILITY ON EIGENVARIETIES

Published online by Cambridge University Press:  22 March 2016

Judith Ludwig
Affiliation:
University of Bonn, Germany (jludwig@math.uni-bonn.de)
Corresponding
E-mail address:

Abstract

In this article, we construct examples of $L$ -indistinguishable overconvergent eigenforms for an inner form of $\text{SL}_{2}$ .

Type
Research Article
Copyright
© Cambridge University Press 2016 

Access options

Get access to the full version of this content by using one of the access options below.

References

Bellaïche, J. and Chenevier, G., Families of Galois representations and Selmer groups, Astérisque 324 (2009), xii+314.Google Scholar
Breuil, C. and Mézard, A., Multiplicités modulaires et représentations de GL2(Z p ) et de Gal(Q p ̄/Q p ) en l = p , Duke Math. J. 115(2) (2002), 205310. With an appendix by Guy Henniart.Google Scholar
Bushnell, C. J. and Kutzko, P. C., Smooth representations of reductive p-adic groups: structure theory via types, Proc. Lond. Math. Soc. (3) 77(3) (1998), 582634.CrossRefGoogle Scholar
Buzzard, K., Eigenvarieties, in L-Functions and Galois Representations, London Mathematical Society Lecture Note Series, Volume 320, pp. 59120 (Cambridge University Press, Cambridge, 2007).CrossRefGoogle Scholar
Chenevier, G., Familles p-adiques de formes automorphes pour GL n , J. Reine Angew. Math. 570 (2004), 143217.Google Scholar
Gelbart, S. S., Automorphic Forms on Adèle Groups, Annals of Mathematics Studies, Volume 83 (Princeton University Press, Princeton, NJ, 1975). (University of Tokyo Press, Tokyo).Google Scholar
Jacquet, H. and Langlands, R. P., Automorphic Forms on GL(2), Lecture Notes in Mathematics, Volume 114 (Springer-Verlag, Berlin–New York, 1970).CrossRefGoogle Scholar
Labesse, J.-P. and Langlands, R. P., L-indistinguishability for SL(2), Canad. J. Math. 31(4) (1979), 726785.CrossRefGoogle Scholar
Loeffler, D., Overconvergent algebraic automorphic forms, Proc. Lond. Math. Soc. (3) 102(2) (2011), 193228.CrossRefGoogle Scholar
Ludwig, J., A $p$ -adic Labesse–Langlands transfer, Preprint, 2014, arXiv:1412.4140.Google Scholar
Ramakrishnan, D., Modularity of the Rankin–Selberg L-series, and multiplicity one for SL(2), Ann. of Math. (2) 152(1) (2000), 45111.CrossRefGoogle Scholar

Full text views

Full text views reflects PDF downloads, PDFs sent to Google Drive, Dropbox and Kindle and HTML full text views.

Total number of HTML views: 0
Total number of PDF views: 69 *
View data table for this chart

* Views captured on Cambridge Core between September 2016 - 7th March 2021. This data will be updated every 24 hours.

Send article to Kindle

To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

$L$ -INDISTINGUISHABILITY ON EIGENVARIETIES
Available formats
×

Send article to Dropbox

To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

$L$ -INDISTINGUISHABILITY ON EIGENVARIETIES
Available formats
×

Send article to Google Drive

To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

$L$ -INDISTINGUISHABILITY ON EIGENVARIETIES
Available formats
×
×

Reply to: Submit a response


Your details


Conflicting interests

Do you have any conflicting interests? *