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Study Group on Serre's "Proprietes Galoisiennes" paper

In this study group we want to present all the details that lead to the proof of Serre's "Surjective Theorem" published in the paper "Proprietees galoisiennes des points d'ordre fini des courbes elliptiques", (1972). The aim is to have a deep understanding of all the theory and the ideas that appear and are behind the paper.

References

  • Serre, Proprietees galoisiennes des points d'ordre fini des courbes elliptiques
  • Serre, Abelian l-adic representation and elliptic curves
  • Silverman, The arithmetic of elliptic curves


Programme

Week 1


4/05/2018

Marco Caselli

Introduction to Galois representation attached to elliptic curves

Week 2

11/05/2018

Josha Box

Local Galois Theory

Week 3

18/05/2018

George Turcas

Week 4

25/05/2018

Mattia Sanna

Subgroup of GL(2,p) and GL(2,Zp)

Week 5

1/06/2018

Alessandro Arlandini

Elliptic curves over local fields and their Galois representation

Week 6

4/06/2018

Alex Torzewski

The algebraic group Sm

Week 7

15/06/2018

Samir Siksek

Compatible systems of Galois representations attached to Sm

Week 8

22/06/2018

David Loeffler

The surjective theorem

Week 9

29/06/2018

John Cremona

Elliptic curves without CM over the rationasl and their Galois representations