Scientific Committee
Comité scientifique
Michael A. Bennett (University of British Columbia)
Stéphane Fischler (Université Paris-Sud)
Noriko Hirata-Kohno (Nihon University)
Holly Krieger (University of Cambridge)
Fabien Pazuki (University of Copenhagen)
Organizing Committee
Comité d’organisation
Yann Bugeaud (Université de Strasbourg)
Eric Gaudron (Université de Clermont-Ferrand)
Philipp Habegger (University of Basel)
Laura Demarco (Harvard University)
Diophantine approximation is a branch of Number Theory that can be described as the study of the solvability of inequalities in integers, though this main theme of the subject is often substantially generalized. As an example, one can be interested in properties of rational points of algebraic varieties defined over an algebraic number field, or as another example, one may study convergence rates of orbits for arithmetic dynamical systems. The proposed workshop is concerned with a variety of problems of this kind, which have seen important progress during the last few years. A detailed description is given below, where five (not unrelated) topics are emphasized. Among the new developments, let us mention works on the ZilberPink conjecture and on unlikely intersections; important progress in metric number theory; and progress towards the Uniform Boundedness Conjecture in dynamical systems.
L’approximation diophantienne est une branche de la théorie des nombres qui, originellement, s’intéresse à la résolution d’inégalités en nombres entiers. Au fil du temps, la théorie s’est développée dans plusieurs directions. Par exemple, l’étude des points rationnels de variétés algébriques sur un corps de nombres ou des orbites de systèmes dynamiques arithmétiques est au cœur de la théorie actuelle. La conférence permettra d’aborder différents thèmes de l’approximation diophantienne contemporaine, en mettant l’accent sur les avancées les plus remarquables. Parmi les développements récents, citons les travaux sur la conjecture de Zilber-Pink et les intersections improbables, les progrès notables de la théorie métrique et les découvertes en direction de la conjecture de majoration uniforme pour les systèmes dynamiques.
SPEAKERS
Shabnam Akhtari (Pennsylvania State University) Monogenic Orders in Quartic Number Fields
Demi Allen (University of Exeter) An inhomogeneous Khintchine–Groshev Theorem without monotonicity
Dzmitry Badziahin (The University of Sydney) On the t-adic Littlewood “conjecture” over finite fields
François Ballaÿ (Université de Caen Normandie) A generalization of Yuan’s equidistribution theorem
Fabrizio Barroero (University of Rome 3) Distinguished categories, Σ-orbits and Mordell-Lang
Laura Capuano (University of Rome 3) Singular intersections of curves and subgroups in tori and in abelian varieties
Sara Checcoli (Université Grenoble Alpes) If a machine did it, it is probably transcendental (even p-adically)
Chris Daw (University of Reading) Some new cases of Zilber-Pink in Y (1)3
Julian Demeio (University of Bath) (Absence of) Bounded generation and semi-simplicity
Gabriel Dill (Université de Neuchâtel) Points of small height and where to find them – a group-theoretic criterion
Vesselin Dimitrov (California Institute of Technology) The arithmetic of power series, II
Colin Faverjon (CNRS, Université Picardie Jules Verne) Mahler’s method
Ziyang Gao (UCLA) Generic positivity of the heights of Gross-Schoen and Ceresa cycles
Thomas Gauthier (Université Paris-Saclay) Uniformity in the dynamical Bogomolov problem
Richard Griffon (Université Clermont Auvergne) A parallelogram inequality for abelian varieties over function fields
Manuel Hauke (Graz University of Technology) On twin primes and twisted diophantine approximation
Yining Hu (Harbin Institute of Technology) Automata, Algebra, and Continued Fractions
Antoine Marnat (Université Paris-Est Créteil) About bad approximability and ratios of successive best approximations
Niki Myrto Mavraki (University of Toronto) Towards quantitative versions in the dynamical Bogomolov conjecture
Ricardo Menares (UC Chile) On the essential minimum of height functions
Martin Orr (University of Manchester) Effective height bounds for very unlikely intersections in abelian varieties
Arnaud Plessis (BIMSA) Bilu’s equidistribution theorem for non-Galois invariant sets and application to a conjecture of Rémond
Anthony Poëls (Université Lyon 1) On approximation to a real number by algebraic numbers of bounded degree
Yunqing Tang (Caltech/UC Berkeley) The arithmetic of power series, I
Francesco Veneziano (University of Genova) The field of definition of the iterates of a rational function
Ingrid Vukusic (University of York) Balanced Fibonacci word rectangles
Robert Wilms (Université de Caen Normandie) Arakelov theory on Noetherian schemes
Jit Wu Yap (M.I.T.) Degeneration of Abelian Varieties by Ultrafilters
SPONSORS
