Programme
For all the workshop, we will follow essentially the book of T. Szamuely, named "Galois Groups and Fundamental Groups".
- 03/10/2012
- Dajano Tossici : Fast introduction
- Andrea Siviero : Basic Galois theory ([T], 1.1 et 1.2), profinite groups
- 10/10/2012
- Sophie Marques : Galois theory for infinite extensions. ([T], 1.3)
- Pierre Chrétien : Interlude on category theory. ([T], 1.4)
- 17/10/2012
- Sophie Marques : Finites étales algebra. ([T], 1.5)
- Exercise session.
- 24/10/2012
- Daniele Casazza et Federico Zerbini Galois covers and the monodromy action. ([T], 2.1, 2.2 et 2.3)
- 7/11/2012
- Alan Hertzen : The universal cover and sheaves. ([T], 2.4 et 2.5)
- 14/11/2012
- Florence Gillibert : Local systems and the Riemann-Hilbert correspondence. ([T], 2.6 et 2.7)
- Exercise session.
- 21/11 /2012
- No talk
- 28/11/2012
- Bruno Winckler et Samuel Le Fourn : Riemann surface, Definitions. ([T], 3.1 et 3.2)
- 5/12/2012
- Bruno Winckler et Samuel Le Fourn : Relation with field theory. ( [T], 3.3 )
- 12/12/2012
- Venkat Guhan : The absolute Galois group of C((t)). ( [T], 3.4 )
- 19/12 /2012
- No talk
- 09/01/2013
- Andrea Siviero : Topology of Riemann surfaces. ([T], 3.6)
- 16/01/2013
- Marques Sophie : Curves over a field. ( [T], 4.2,4.3 )
- 23/01/2013
- Alan Hertgen : Proper normal curves and finite branched cover of normal curves. ( [T], 4.4,4.5 )
- 30/01/2013
- Samuel Le Fourn : The algebraic fundamental group and the outer Galois action. ( [T], 4.6,4.7 )
- 6/02/2013
- Wen Hao: Application to the inverse Galois problem. ( [T], 4.8 )
- 13/02/2013
- No talk
- 20/02/2013
- No talk
- 27/02/2013
- No talk
- 6/03/2013
- Daniele Casazza : The vocabulary of schemes. ( [T], 5.1 )
- 13/03/2013
- No talk.
- 20/03/2013
- Nicola Mazzari : Finite étale covers of schemes. ( [T], 5.2 )
- 27/03/2013
- Dajano Tossici : Galois theory for finite étale covers. ( [T], 5.3 )
- 03/04/2013
- No talk
- 10/04/2013
- Lei Yang : The algebraic fundamental group in the general case and first properties. ( [T], 5.4, 5.5 )
- 17/04/2013
- Jilong Tong : Some properties of the fundamental group. ( [T], 5.6, 5.7, 5.8 just a summary )