CONFERENCE
Diophantine Geometry
Géométrie diophantienne
21 – 25 May 2018
Scientific Committee
Comité scientifique Pascal Autissier (Université de Bordeaux) |
Organizing Committee
Comité d’organisation Vincent Bosser (Université de Caen Normandie) |
The meeting aims to present some recent developments in diophantine geometry, inviting active researchers to expose their work.
Rather than targeting comprehensiveness, we choose to deepen three topical topics, with a more structured program where several talks could be linked together. The chosen topics are Galois representation, isogeny, modular curves on one hand and Zilber-Pink conjecture on the other hand, as some opening themes devoted to other related subjects. In the third case, which can be considered on the frontier between Diophantine geometry and so less familiar to the expected audience, the talks should present some basic aspects of the subject before moving on to the most recent advances. |
La rencontre a pour objectif de présenter des développements récents en géométrie diophantienne, en invitant des chercheurs actifs dans le domaine à nous présenter leurs travaux.
Plutôt que de viser l’exhaustivité, nous avons choisi d’approfondir trois thèmes d’actualité, pour un programme plus structuré où certains exposés pourraient être liés entre eux. Les thèmes choisis sont Représentations galoisiennes, isogénies, courbes modulaires d’une part et Conjectures de Zilber-Pink d’autre part, ainsi que des thèmes d’ouverture consacrés à des sujets connexes. Dans le troisième cas, qui peut être considéré comme étant à la frontière de la géométrie diophantienne et donc moins familier au public attendu, les exposés sont de nature un peu plus introductive afin de présenter les bases du sujet avant de passer aux avancées les plus récentes. |
Speakers
Francesco Amoroso (Université de Caen Normandie) Théorèmes de spécialisations et équations aux normes
Fabrizio Barroero (Universität Basel) Unlikely Intersections in families of abelian varieties and applications
Daniel Bertrand (Université Pierre et Marie Curie) Unlikely intersections in a family of semi-abelian surfaces (pdf)
Nicolas Billerey (Université Clermont Auvergne) On the modularity of reducible Galois representations
Laura Capuano (University of Oxford) Linear relations in families of elliptic curves
Antoine Chambert-Loir (Université Paris Diderot) Géométrie diophantienne et espaces de Berkovich
Christopher Daw (University of Oxford) Unlikely intersections in Shimura varieties
Gabriel Dill (Universität Basel) Unlikely intersections between isogeny orbits and curves
Vesselin Dimitrov (IAS Princeton) On some new results in the Mordell and Bogomolov problems
Ziyang Gao (IAS Princeton & Université Paris 7) Around a height inequality
Gareth Jones (University of Manchester) Counting for functions on the disc
Samuel Le Fourn (Ens de Lyon) Quadratic Chabauty and L-functions (pdf)
Davide Lombardo (Università di Pisa) Endomorphism rings of Jacobians: from theory to practice and back again
Álvaro Lozano-Robledo (University of Connecticut) Recent progress in the classification of torsion subgroups of elliptic curves – VIDEO –
David Masser (Universität Basel) Avoiding Jacobians – VIDEO –
Ricardo Menares (Pontificia Universidad Católica de Valparaíso) p-adic equidistribution of CM points and integral properties of singular moduli
Lucia Mocz (Princeton University) A new Northcott property for Faltings height – VIDEO –
Martin Orr (Imperial College London) Unlikely intersections with Hecke correspondences
Pierre Parent (Université de Bordeaux) Stable models for modular curves in prime level – VIDEO –
Héctor H. Pastén Vásquez (Harvard University Cambridge) Shimura curves and bounds for the abc conjecture – VIDEO –
Jérôme Poineau (Université de Caen Normandie) Local and global Berkovich spaces
Fabrizio Barroero (Universität Basel) Unlikely Intersections in families of abelian varieties and applications
Daniel Bertrand (Université Pierre et Marie Curie) Unlikely intersections in a family of semi-abelian surfaces (pdf)
Nicolas Billerey (Université Clermont Auvergne) On the modularity of reducible Galois representations
Laura Capuano (University of Oxford) Linear relations in families of elliptic curves
Antoine Chambert-Loir (Université Paris Diderot) Géométrie diophantienne et espaces de Berkovich
Christopher Daw (University of Oxford) Unlikely intersections in Shimura varieties
Gabriel Dill (Universität Basel) Unlikely intersections between isogeny orbits and curves
Vesselin Dimitrov (IAS Princeton) On some new results in the Mordell and Bogomolov problems
Ziyang Gao (IAS Princeton & Université Paris 7) Around a height inequality
Gareth Jones (University of Manchester) Counting for functions on the disc
Samuel Le Fourn (Ens de Lyon) Quadratic Chabauty and L-functions (pdf)
Davide Lombardo (Università di Pisa) Endomorphism rings of Jacobians: from theory to practice and back again
Álvaro Lozano-Robledo (University of Connecticut) Recent progress in the classification of torsion subgroups of elliptic curves – VIDEO –
David Masser (Universität Basel) Avoiding Jacobians – VIDEO –
Ricardo Menares (Pontificia Universidad Católica de Valparaíso) p-adic equidistribution of CM points and integral properties of singular moduli
Lucia Mocz (Princeton University) A new Northcott property for Faltings height – VIDEO –
Martin Orr (Imperial College London) Unlikely intersections with Hecke correspondences
Pierre Parent (Université de Bordeaux) Stable models for modular curves in prime level – VIDEO –
Héctor H. Pastén Vásquez (Harvard University Cambridge) Shimura curves and bounds for the abc conjecture – VIDEO –
Jérôme Poineau (Université de Caen Normandie) Local and global Berkovich spaces
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