Reference : Hilbert modular forms modulo p of partial weight one and unramifiedness of Galois rep...
Dissertations and theses : Doctoral thesis
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/45941
Hilbert modular forms modulo p of partial weight one and unramifiedness of Galois representations
English
de Maria, Mariagiulia mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
14-Sep-2020
University of Luxembourg, ​​Luxembourg
DOCTEUR DE L’UNIVERSITÉ DU LUXEMBOURG EN MATHÉMATIQUES
106
Wiese, Gabor mailto
Dimitrov, Mladen mailto
Debes, Pierre mailto
Perucca, Antonella mailto
Xiao, Liang mailto
Diamond, Fred mailto
[en] Hilbert Modular Forms ; Partial Weight One ; Langlands Program
[en] This thesis studies Hilbert modular forms of arbitrary weight with coefficients over a finite field of characteristic p. In particular, we compute the action on geometric q- expansions attached to these forms of Hecke operators, including at places dividing p as constructed by Emerton, Reduzzi and Xiao. As an application, we prove that the Galois representation attached to a Hilbert cuspidal eigenform mod p, which has parallel weight 1 at a place P dividing p, is unramified at P.
Researchers
http://hdl.handle.net/10993/45941

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