For our event B15-Vision of the Future we have been able to win again an outstanding special guest speaker – we had to great honor to welcoming the French Mathematician & Mathematical Physicist **Professor Dr. Cédric Villani **to Vorarlberg in July 2015.

For his proofs to the **Non-Linear Landau Damping** and to the **Boltzmann-Equation** he has been awarded with the famous Fields Medal – also seen as the *“Nobel Prize of Mathematics” *in 2010.

Cédric Villani was born in France on October 5, 1973.

After studying mathematics at **École Normale Supérieure** in Paris from **1992 to 1996**, he was appointed assistant professor there.

In **1998** he received his PhD on the mathematical **theory of the Boltzmann equation** from the **Université Paris Dauphine**. Besides his advisor Pierre-Louis Lions (Paris, France) he was influenced by Yann Brenier (Nice, France), Eric Carlen (Rutgers, USA) and Michel Ledoux (Toulouse, France).

In **1999** he worked as Visiting Assistant Professor at the **Georgia Tech Institute in Atlanta**, USA.

**From 2000 to 2010** Cédric Villani worked as Mathematics professor at the **Ecole Normale Superieure de Lyon**, where he did research and teaching up to graduate level.

From **January till May 2004** he was *Visiting Research Miller Professor at the University of Berkeley, USA. *

**Since July 2009** Cédric Villani is **Director** of the famous **Institut Henri Poincare** in Paris, where he does research and administration.

**Since autumn 2010 **he teaches at the **Université Claude Bernard** in Lyon.

Furthermore he is the coordinator of the **CARMIN structure**, which gathers the four international french institutes for mathematics: CIRM, CIMPA, IHP, IHES.

His main research interests are the **kinetic theory** (Boltzmann and Vlasov equations and their variants), and **optimal transport and its applications**. About this topic he wrote the two reference books: *Topics in Optimal Transportation* (2003) and *Optimal Transport, old and new* (2008).

**The Boltzmann’s kinetic theory of gases** is one of the fundamental and initially very controversial theories of classical physics. In 1871 the **Austrian Physicist Ludwig Eduard Boltzmann** discovered this equation, which describes an odd quality of gases and liquids. The single pushes between gas molecules are all reversible (according to the classical Newtonian law). However, it is not the behavior of a gas as a whole. This is aimed at balance, temperature and pressure balance. This increase of the “mess” is called **Entropy.** Boltzmann showed that entropy is a **statistical phenomenon**. For years this equation could only be solved to some extent, until Cédric Villani solved it in 2010 mathematically precisely.

Another research subject of Cédric Villani is the so-called **Landau damping**, named after the **Soviet physicist Lew Landau**. In 1946 Landau explained that plasma (ultra hot gas) spreads and reaches his equilibrium, without increases, besides, the Entropy. Plasma reaches, in contrast to gas, its equilibrium by the decay of his electric field (not like gas by particle collisions). Landau worked many years on proving his theory, however, only Cédric Villani succeeded in adducing the evidence of the correctness of this theory.

The so-called **optimum mass transport** is another main focus of the scientific work of Cédric Villani. With the optimum transport it is tried for the most favorable transport to transfer a given beginning distribution in a desired final distribution.

Cédric Villani received several national and international prizes for his research.

He is being awarded the **2010** Fields Medal for his proofs of **nonlinear Landau damping** and** convergence to equilibrium for the Boltzmann equation.**

Villani's numerous honors include furthermore:

- 2014 Joseph L. Doob Prize for this book Optimal Transport
- 2013 Gibbs-Lecture of the American Mathematical Society
- 2013 Member of the Académie des sciences
- 2011 Appointment to the Knight of the National Order of Merit
- 2010 Fields Medal, received in Hyderabad by the President of India
- 2010 Spokesperson for the French Mathematical Community in media and political circles
- 2009 Fermat Prize of the Université Toulouse, France
- 2009 Henri Poincare Prize of the International Association of Mathematical Physics
- 2009 Appointment to the Knight of the Ordre Natioanl du Mérite
- 2008 Prize of the European Mathematical Society
- 2007 Jacques Herbrand Prize of the Academy of Sciences
- 2006 Invited lecturer at the International Congress of Mathematicians in Madrid, Spain
- 2006 Member of the Institut Universitaire de France
- 2004 Harold Grad lecturer
- 2003 Plenary lecturer at the International Congress of Mathematical Physics in Lisbon, Portugal
- 2003 Peccot-Vimont Prize and Cours Peccot of the College de France
- 2001 Louis Armand Prize of the Academy of Sciences