Unramifiedness of Galois representations attached to weight one Hilbert modular eigenforms mod p

Reference : Unramifiedness of Galois representations attached to weight one Hilbert modular eigen...


	Document type :	Scientific congresses, symposiums and conference proceedings : Unpublished conference
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/23095

Title :	Unramifiedness of Galois representations attached to weight one Hilbert modular eigenforms mod p
Language :	English
Author, co-author :	Wiese, Gabor [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	13-Nov-2015
Peer reviewed :	No
On invitation :	Yes
Audience :	International
Event name :	Arithmetic Geometry Days 2015
Event date :	from 12-11-2015 to 13-11-2015
Event place (city) :	Copenhagen
Event country :	Denmark
Abstract :	[en] The talk will summarise the main ideas underlying the recent joint work with Mladen Dimitrov, proving that the existence of Hecke operators T_P, for P dividing p, implies that the Galois representation attached to a mod p Hilbert modular eigenform of parallel weight one and prime-to-p level is unramified above p. This applies, in particular, to non-liftable mod p eigenforms, and can be seen as a refinement of the weight aspect in generalisations of Serre's Modularity Conjecture to Hilbert modular forms.
Permalink :	http://hdl.handle.net/10993/23095

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