Bernard Derrida, École Normale Supérieure, Collège de France, France

Fisher KPP Equation and Applications (7.5h)

1. The Fisher KPP equation in various contexts: reaction diffusion, directed polymers, branching Brownian motion

2. The position of the front and the problem of selection of the velocity

3. The branching Brownian motion and its generalizations

4. The noisy front equation

5. Genealogies with or without selection

6. Directed polymers and the replica approach

7. Some exact results