
The purpose of the school is to present a selfcontained proof of a famous theorem of Serre in 1972. This theorem tells us that the representation associated to the Galois action on the ptorsion 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.
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)

