## Program

#### Monday June 19

8:30-9:00 | Registration, Coffee | |

9:00-9:45 | Jean-François Le Gall | Excursion theory for Brownian motion indexed by the Brownian tree |

9:45-10:30 | Wendelin Werner | Brownian loop-soups and various things one can do with them |

10:30-11 | Break | |

11-11:45 | Ofer Zeitouni | Heat kernel estimates for Liouville Brownian motion |

11.45-12:30 | Percy Deift | Universality in numerical computation with random data |

12:30-2:00 | Lunch | |

2:00-2:45 | Jean-Dominique Deuschel | Quenched invariance principle and local CLT for random walks with time-dependent ergodic degenerate weights |

2:45-3:15 | Break | |

3.15-4:00 | Yuval Peres | Gravitational allocation to uniform points on the sphere |

4:00-4:30 | Poster session in the lobby | |

4:30 | Reception on the 13th floor | |

#### Tuesday June 20

8:30-9:00 | Coffee | |

9:00-9:45 | Erwin Bolthausen | On the TAP equations in the high-temperature regime |

9:45-10:30 | Anton Bovier | Scaling limits in adaptive dynamics and application to the modelling of immunotherapy |

10:30-11 | Break | |

11-11:45 | Jiri Cerny | The maximum of branching random walk in spatially random branching environment |

11.45-12:30 | Alain-Sol Sznitman | Solidification of porous interfaces |

12:30-2:00 | Lunch | |

2:00-2:45 | Amir Dembo | The criticality of a randomly-driven front |

2:45-3:15 | Break | |

3.15-4:00 | Sandrine Péché | Universality and non universality in Random Matrix Theory |

4:00-4:45 | Persi Diaconis | Random-non-random matrix theory |

#### Wednesday June 21

8:30-9:00 | Coffee | |

9:00-9:45 | Martin Hairer | Universality of the KPZ equation |

9:45-10:30 | Francis Comets | Cover process on the two-dimensional torus and random interlacement |

10:30-11 | Break | |

11-11:45 | Jeremy Quastel | The KPZ fixed point |

11.45-12:30 | Terry Lyons | From Hopf Algebras to Machine learning via Rough Paths |

Free afternoon | ||

6.30-10 | Conference dinner | at Favela Cubana |

#### Thursday June 22

8:30-9:00 | Coffee | |

9:00-9:45 | Scott Sheffield | Tutte embeddings of the mated-CRT map converge to Liouville quantum gravity |

9:45-10:30 | S.R.Srinivasa Varadhan | The Polaron measure. A second look. |

10:30-11 | Break | |

11-11:45 | Takashi Kumagai | Convergence of random walks for trap models on disordered media |

11.45-12:30 | Sylvie Méléard | Time scales and spectral gaps for quasi stationary distributions in large populations birth and death processes |

12:30-2:00 | Lunch | |

2:00-2:45 | Horng-Tzer Yau | Eigenvalue statistics of random graphs |

2:45-3:15 | Break | |

3.15-4:00 | Eyal Lubetzky | Speed vs. entropy of random walks on Galton-Watson trees |

#### Friday June 23

8:30-9:00 | Coffee | |

9:00-9:45 | Vladas Sidoravicius | Recurrence vs transience for self interacting Markov chains |

9:45-10:30 | Yves Le Jan | On the topology of random loops |

10:30-11 | Break | |

11-11:45 | Stefano Olla | Thermal boundaries in kinetic and hydrodynamic limits |

11.45-12:30 | Houman Owhadi | Computational Information Games |

12:30-2:00 | Lunch | |

2:00-2:45 | Charles M. Newman | Exponential decay in the near-critical planar Ising model |

2:45-3:15 | Break | |

3.15-4:00 | Alexander Fribergh | Traps, Biases and Ants |