A CIMPA school on
Serre's big image theorem for
Galois representation associated to elliptic curves

Universidad de Valparaiso, Valparaiso, Chile
January 6-17, 2025

The purpose of the school is to present a self-contained proof of a famous theorem of Serre in 1972. This theorem tells us that the representation associated to the Galois action on the p-torsion points of an elliptic curve is surjective for p great enough. This theorem had a very great impact in the field of arithmetic geometry and opened the field to numerous problems that are, for some, still open today. After introducing the students to the topics needed to understand the proof, illustrating the theory through exercises and computer sessions , we will present the proof itself.
  • Amalia Pizarro, local coordinator (Universidad de Valparaiso)
  • Marusia Rebolledo, external coordinator ((Université Clermont Auvergne)

    Scientific Committee
  • Amalia Pizarro (Universidad de Valparaiso)
  • Marusia Rebolledo, (Université Clermont Auvergne)
  • René Schoof(Università di Roma Tor Vergata)
  • Valerio Talamanca (Università Roma Tre)
    Organizing Committee
  • Amalia Pizarro, (Universidad de Valparaiso)
  • Rodrigo Castro (Universidad de Valparaiso)
  • Marcelo Flores (Universidad de Valparaiso)
  • Anita Rojas (Universidad de Chile)