Towards a mod-p Lubin-Tate theory for GL2 over totally real fields

dc.contributor.author	BANERJEE, DEBARGHA	en_US
dc.contributor.author	RAI, VIVEK	en_US
dc.date.accessioned	2024-02-12T11:50:11Z
dc.date.available	2024-02-12T11:50:11Z
dc.date.issued	2024-01	en_US
dc.identifier.citation	International Journal of Number Theory, 20(01), 199-220.	en_US
dc.identifier.issn	1793-0421	en_US
dc.identifier.issn	1793-7310	en_US
dc.identifier.uri	https://doi.org/10.1142/S179304212450009X	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8502
dc.description.abstract	In this paper, we show that the conjectural mod p local Langlands correspondence can be realized in the mod p cohomology of the Lubin-Tate towers. The proof utilizes a wellknown conjecture of Buzzard-Diamond-Jarvis [8, Conjecture 4.9], a study of completed cohomology of the ordinary and supersingular locus of the Shimura curves for a totally real field F and of mod l(? p) local Langlands correspondence as given by Emerton- Helm [20]. In the case of modular curves, a similar theorem was obtained by Chojecki [13].	en_US
dc.language.iso	en	en_US
dc.publisher	World Scientific Publishing Co Pte Ltd	en_US
dc.subject	Galois representations	en_US
dc.subject	Completed cohomology	en_US
dc.subject	Shimura curves	en_US
dc.subject	2024	en_US
dc.title	Towards a mod-p Lubin-Tate theory for GL2 over totally real fields	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	International Journal of Number Theory	en_US
dc.publication.originofpublisher	Foreign	en_US