Reference : Galois Families of Modular Forms
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Galois Families of Modular Forms
Wiese, Gabor mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
Number Theory Seminar, University of Copenhagen
[en] Following a joint work with Sara Arias-de-Reyna and Fran├žois Legrand, we present a new kind of families of modular forms. They come from representations of the absolute Galois group of rational function fields over Q. As a motivation and illustration, we discuss in some details one example: an infinite Galois family of Katz modular forms of weight one in characteristic 7, all members of which are non-liftable. This may be surprising because non-liftability is a feature that one might expect to occur only occasionally.

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