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
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Week 1 4/05/2018 |
Marco Caselli Introduction to Galois representation attached to elliptic curves |
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Week 2 11/05/2018 |
Josha Box Local Galois Theory |
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Week 3 18/05/2018 |
George Turcas |
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Week 4 25/05/2018 |
Mattia Sanna Subgroup of GL(2,p) and GL(2,Zp) |
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Week 5 1/06/2018 |
Alessandro Arlandini Elliptic curves over local fields and their Galois representation |
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Week 6 4/06/2018 |
Alex Torzewski The algebraic group Sm |
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Week 7 15/06/2018 |
Samir Siksek Compatible systems of Galois representations attached to Sm |
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Week 8 22/06/2018 |
David Loeffler The surjective theorem |
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Week 9 29/06/2018 |
John Cremona Elliptic curves without CM over the rationasl and their Galois representations |