Yves Benoist is a French mathematician, known for his work on group dynamics on

homogeneous spaces In mathematics, particularly in the theories of Lie groups, algebraic groups and topological groups, a homogeneous space for a group ''G'' is a non-empty manifold or topological space ''X'' on which ''G'' acts transitively. The elements of ...

. He is currently a Senior Researcher (Directeur de Recherche) of

CNRS The French National Centre for Scientific Research (french: link=no, Centre national de la recherche scientifique, CNRS) is the French state research organisation and is the largest fundamental science agency in Europe. In 2016, it employed 31,637 ...

at the

University of Paris-Sud Paris-Sud University (French: ''Université Paris-Sud''), also known as University of Paris — XI (or as Université d'Orsay before 1971), was a French research university distributed among several campuses in the southern suburbs of Paris, in ...

. In 1990 Benoist proved a longstanding open conjecture with Patrick Foulon and

François Labourie François Labourie (born 15 December 1960) is a French mathematician who has made various contributions to geometry, including pseudoholomorphic curves, Anosov diffeomorphism, and convex geometry. In a series of papers with Yves Benoist and Pat ...

about Anosov flows on compact, negatively curved manifolds. In the 2000s he wrote a series of papers on the divisible convex sets in projective space and periodic tilings by such sets. In 2011 he was awarded the

Clay Research Award __NOTOC__ The Clay Research Award is an annual award given by the Oxford-based Clay Mathematics Institute to mathematicians to recognize their achievement in mathematical research. The following mathematicians have received the award: {, class=" ...

along with his former doctoral student, Jean-François Quint. The prize citation highlighted their work on stationary measures and closed orbits for non-abelian group actions on homogeneous spaces, solving a long-standing conjecture of

Hillel Furstenberg Hillel (Harry) Furstenberg ( he, הלל (הארי) פורסטנברג) (born September 29, 1935) is a German-born American-Israeli mathematician and professor emeritus at the Hebrew University of Jerusalem. He is a member of the Israel Academy o ...

. They showed that in homogeneous spaces of finite volume, orbits of a Zariski dense subgroup of a semisimple group equidistribute towards algebraic measures. He gave the 2012 Takagi Lectures10th Takagi Lectures
/ref> in Kyoto at the

Research Institute for Mathematical Sciences The is a research institute attached to Kyoto University, hosting researchers in the mathematical sciences from all over Japan. RIMS was founded in April 1963. List of directors * Masuo Fukuhara (1963.5.1 – 1969.3.31) * Kōsaku Yosida (1969 ...

(RIMS). In 2014 he was an Invited speaker at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

in Seoul.

Selected works

* * * * * * * * *

Lecture notes on Yves Benoist's work

*Jean-François Quint: Convexes divisibles, d'après Yves Benoist. Séminaire Bourbaki, June 2008. *François Ledrappier: Mesures sur les espaces station aires homogeneous, d'après Yves Benoist et Jean-François Quint Séminaire Bourbaki, 2012.

References

20th-century French mathematicians Dynamical systems theorists Year of birth missing (living people) Living people 21st-century French mathematicians {{France-mathematician-stub