Reference : Images of Galois representations
Diverse speeches and writings : Speeches/Talks
Physical, chemical, mathematical & earth Sciences : Mathematics
Images of Galois representations
Conti, Andrea mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
4th Number Theory Meeting
Danilo Bazzanella, Andrea Mori, Nadir Murru, Carlo Sanna, Lea Terracini
[en] The absolute Galois group of a local or global field can be better understood by studying its representations, important classes of which are constructed from geometric objects such as elliptic or modular curves. The results of a line of work initiated by Serre, Ribet and Momose suggest that certain interesting symmetries of a Galois representation constructed this way are in bijection with the symmetries of the underlying geometric object. We present a recent result in this direction, obtained in a joint work with J. Lang and A. Medvedovsky.

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