Conférences  >  Mathématiques  >  Théorie des nombres, arithmétique  >  France

This conference aims to honor the spectacular contributions of Emmanuel Ullmo to arithmetic geometry and centers around his mathematical contributions and interests. It will cover and highlight recent stage of development on topics such as Diophantine geometry, ergodic theory, Hodge theory, and arithmetic dynamics.

Université de Lille

The wide area of the analytic theory of automorphic forms and representations intertwines various topics: statistics over automorphic families, arithmetic quantum chaos, bounds on automorphic forms, dynamics of hyperbolic geodesics... Among the mail tools used to address these problems are trace fomulas, estimates on L-functions and ergodic methods, often used in conjunction with arithmetic or algebraic arguments. Besides the invited talks, we devote an afternoon to contributed talks, where the younger generation could present their recent research and topics of interest. The conference comes into play to bring together experts, young colleagues and students to foster new ideas and projects. Particular care has been taken to give the opportunity to younger researcher to give talks.

CIRM – Centre International de Rencontres Mathématiques

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.