A CIMPA school on
Serre's big image theorem for
Galois representations 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 without complex mutiplication is surjective for sufficiently large p. 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.

We are organizing an afternoon session of Lightning Talks and invite participants to present their work.

If you are interested in sharing your ideas or projects, please let us know by emailing us at valparaisocimpaschool@gmail.com

We look forward to hearing from you.


To contact the organizers please write to valparaisocimpaschool@gmail.com
    Coordinators
  • Amalia Pizarro, local coordinator (Universidad de Valparaiso)
  • Marusia Rebolledo, external coordinator ((Université Clermont Auvergne)


We gratefully acknowledge the support of:


    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)