[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.
Disciplines :
Mathematics
Author, co-author :
Conti, Andrea ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
Images of Galois representations
Publication date :
25 October 2019
Event name :
4th Number Theory Meeting
Event organizer :
Danilo Bazzanella, Andrea Mori, Nadir Murru, Carlo Sanna, Lea Terracini