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Unramifiedness of Galois representations attached to weight one Hilbert modular eigenforms mod p
WIESE, Gabor
2015Arithmetic Geometry Days 2015
 

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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.
Disciplines :
Mathematics
Author, co-author :
WIESE, Gabor  ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
no
Language :
English
Title :
Unramifiedness of Galois representations attached to weight one Hilbert modular eigenforms mod p
Publication date :
13 November 2015
Event name :
Arithmetic Geometry Days 2015
Event place :
Copenhagen, Denmark
Event date :
from 12-11-2015 to 13-11-2015
By request :
Yes
Audience :
International
Available on ORBilu :
since 21 December 2015

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