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 daily program consists of at most 6 classes of 50 minutes each from 9:00 to 13:00, (with an half hour break) and from 15:00 to 16:50, except for Tuesday and Thursday of the second week. On those two days we add an extra hour to keep the first Wednesday afternoon free. We also include other activities some days.

Courses Sessions
LecturesExercises
BN Basic Notions 51
AI Action of Inertia 102
CM CM theory, Hecke characters, class field theory 82
CS Compatible systems of l-adic representations on elliptic curves and algebraic tori102
DA Diophantine approximation and Diophantine equations 102
ST Proof of Serre's theorem51
GP/Pari Division polynomials and explicit computation of the images of representations 2 training session

Week 1

MondayTuesdayWednsdayThursday Friday
8:00-8:50Registration
9:00-9:50BN DA BN DA CS
10:00-10:50 BN DA BN DA CS
10:50-11:10COFFEE BREAK
11:10-12:00 DA BN DA AI DA
12:10-13:00 DA BN DA AI DA
13:00-15:00LUNCH
15:00-15:50 AI CM Cimpa for kids CM AI
16:00-16:50 AI CM Cultural tour ICM AI
17:00-17:50 Opening Ceremony Cultural tour II and
social dinner
18:00-

Week 2

MondayTuesdayWednsdayThursday Friday
9:00-9:50 CM AI CS AI CS
10:00-10:50 CM AI CS AI CS
10:50-11:10COFFEE BREAK
11:10-12:00 DA CS ST CS CM
12:10-13:00 DA CS ST CS CM
13:00-15:00LUNCH
15:00-15:50 CS CM AI ST ST
16:00-16:50 CS CM AI ST ST
17:00-17:50 Coffee and empanadas GP/Pari Lightning talks GP/Pari Closing Ceremony