All talks will take place in Amphitheater Astier, Building Esclangon, Jussieu campus. Map

Lunches (except on Saturday) will take place at Restaurant L'Ardoise (above the mathematics library, on the Jussieu campus).

Bas Edixhoven was originally going to give the course on Shimura varieties, but unfortunately had to cancel. Christophe Cornut and Bruno Klingler have kindly accepted to replace him.

Abstracts

Monday 25th June

9:00-10:00 : Welcome + coffee + registration
10:00-12:00 : Bruno Klingler (Paris 7) Shimura varieties I
Lunch
14:30-16:00 : Antoine Chambert-Loir (Rennes I) Heights on algebraic groups I
Coffee
16:30-18:00 : Thomas Scanlon (Berkeley) Model theory and O-minimality I

Tuesday 26th June

9:00-10:30 : Thomas Scanlon (Berkeley) Model theory and O-minimality II
Coffee
10:50-12:20 : Antoine Chambert-Loir (Rennes I) Heights on algebraic groups II
Lunch
14:30-16:30 : Bruno Klingler (Paris 7) Shimura varieties II
Coffee
17:00-18:00 : Student session

Wednesday 27th June

9:00-10:30 : Sergei Starchenko (Notre Dame) : Complex analysis in o-minimal structures
Coffee
10:50-12:20 : Antoine Chambert-Loir (Rennes I) Heights on algebraic groups III
Lunch
Free afternoon

Thursday 28th June

9:00-10:30 : Antoine Chambert-Loir (Rennes I) : Heights on algebraic groups IV
Coffee
10:50-12:20 : Margaret Thomas (Konstanz) The Pila-Wilkie theorem
Lunch
14:30-16:30 : Christophe Cornut (CNRS) Shimura varieties III
Coffee
17:00-18:00 : Student session

Friday 29th June

9:00-11:00 : Christophe Cornut (CNRS) Shimura varieties IV
Coffee
11:20-12:50 : Thomas Scanlon (Berkeley) Model theory and O-minimality III
Lunch
15:00-16:30 : Thomas Scanlon (Berkeley) Model theory and O-minimality IV
Coffee
17:00-18:00 : Umberto Zannier (Pisa) Unlikely intersections with compact subgroups (in dimension 2)

Saturday 30th June : Satellite day

Programme of the Satellite day

Monday 2th July

9:00-10:30 : Andrei Yafaev (London) André-Oort conjecture : Hecke orbits.
Coffee
10:50-12:20 : Emmanuel Ullmo (Orsay) André-Oort conjecture : ergodic tools.
Lunch
14:30-15:30 : Bruno Klingler (Paris 7) André-Oort conjecture modulo GRH I.
Coffee
15:50-16:50 : Bruno Klingler (Paris 7) André-Oort conjecture modulo GRH II.
17:00-18:00 : Student session

Tuesday 3rd July
9:00-10:30 : Gaël Rémond (Grenoble) Application de la méthode Vojta au cas abélien de la conjecture de Zilber-Pink.
Coffee
10:50-12:20 : Philipp Habegger (Frankfurt) Torsion Points on the Weierstrass Family of Elliptic Curves.
Lunch
14:30-15:30 : Guillaume Maurin (Paris 6) Application de la méthode de Vojta au cas torique de la conjecture de Zilber-Pink.
Coffee
15:50-16:50 : Patrik Hubschmid (Heidelberg) André-Oort conjecture in positive characteristic
17:00-18:00 : Student session

Wednesday 4th July

9:00-10:30 : Jonathan Pila (Oxford) Some special point problems.
Coffee
10:50-12:20 : Boris Zilber (Oxford) Generalised special subvarieties and atypical intersections.
Lunch
14:30-15:30 : Nicolas Ratazzi (Orsay) Lehmer's problem on abelian varieties and multiplicative groups.
15:50-16:50 : Maria Carrizosa (Lyon I) From Lehmer to Zilber-Pink.
17:30 : Reception

Thursday 5th July

9:00-10:30 : Yuri Bilu (Bordeaux) Effectivity and uniformity in the Theorem of André (after Lars Kühne).
Coffee
10:50-12:20 : Emmanuel Breuillard (Orsay) Heights on character varieties of reductive groups and the uniform Tits alternative
Lunch
14:30-15:30 : Emmanuel Ullmo (Orsay) La conjecture d'Ax-Lindeman hyperbolique pour les variétés de Shimura projectives et applications à la conjecture d'André-Oort.
Coffee
15:50-16:50 : Damian Rössler (Toulouse) On the ramification of torsion points lying on curves of genus at least two
17-18 : Student session