Scientific News

About the works of Jean-François Le Gall, laureate of the 2019 Wolf Prize in Mathematics

Submitted by Insmi on Wed, 02/20/2019 - 14:09

The Wolf Prize for Mathematics, the third most prestigious distinction in Mathematics after the Abel Prize and the Fields Medal, has been awarded in 2019 jointly to Jean-Francois Le Gall from the University Paris Sud "for his profound and elegant works on stochastic processes", and to Gregory Lawler from Chicago University.

Inverse Problems in Nonimaging Optics

Submitted by Insmi on Tue, 02/19/2019 - 11:43

In a recent work, Quentin Mérigot, Jocelyn Meyron and Boris Thibert developed an algorithm which enables to conceive and to build a whole series of optical components, lenses or mirrors, capable of transferring light radiation in an optimal and precise way. Their work is based on new numerical methods which prove very efficient to solve certain optimal transport problems.

Read the full article (in French)

About the authors:

Simple groups of Morley rank 3 are algebraic

Submitted by Insmi on Thu, 01/17/2019 - 14:12

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. 

Read the full text of the article in French

Sums of Gál type and applications

Submitted by Insmi on Fri, 12/21/2018 - 14:42

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.

Singular foliations with trivial canonical class

Submitted by Insmi on Wed, 12/05/2018 - 15:07

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.