Model theory is a branch of mathematical logic. Its modern history dates back to 1962. There is a way of measuring the size of the objects of model theory. At the end of the 1970s, the mathematicians Cherlin and Zilber made a conjecture concerning this size issue. While the logicians' community was starting to doubt the veracity of the conjecture, Olivier Frécon recently proved that the conjecture is true in an important particular case.
In 1949, the Hungarian mathematician István Sándor Gál, then research associate (attaché de recherche) at the CNRS, publishes the demonstration of a conjecture dating back to the 1930s, concerning the maximum size of a quantity of arithmetic nature belonging to a large family whose elements are now called "sums of Gál type". Not until the works of Lewko et Radziwiłł in 2017 was this result specified in the particular case considered by Gál.
Poincaré-Koebe's theorem of uniformization enables to build a geometrical classification of surfaces. In 1984, Beauville and Bomogolov generalized this classification by considering a subset of varieties of greater dimensions: compact Kähler manifolds with trivial canonical bundle. In a recent work, F. Loray, J.V. Pereira and F. Touzet give a foliated version of this generalisation. Their paper describes the structure of singular codimension one foliations with numerically trivial canonical bundle on complex projective manifolds.
A senior researcher at the CNRS, Catherine Goldstein was invited as a plenary speaker at the 2018 International Congress of Mathematicians in Rio de Janeiro. She answered our questions.
"What is it that you like in mathematics?" "What does this congress mean to you?"
French mathematicians answered the questions for us.
Find out more by clicking on their names!
The Annales Henri Lebesgue is a generalist journal of mathematics, fully open access and free of author charges. A non-profit journal, it is supported by public institutions.
A senior researcher at the CNRS, Vincent Lafforgue was invited as a plenary speaker at the 2018 International Congress of Mathematicians in Rio de Janeiro. He answered our questions.
- You can explore various aspects of Gaston Darboux's life and work - mathematics and geometry, but also his political commitment as a scientist - by following the links on this webpage.
- The Institut Henri Poincaré organised a conference in historical sciences about Gaston Darboux on November 17th, 2017.
- The Société de Mathématiques Appliquées et Industrielles (SMAI<
A Silver Professor of Mathematics at the Courant Institute of Mathematical Sciences (NYU), Sylvia Serfaty was invited as a plenary speaker at the 2018 International Congress of Mathematicians in Rio de Janeiro. She answered our questions.