Conferences

Probability @ Warwick Conference

July 07, 2025

A brief description from the conference website

The P@W Summer School - Recent Trends in Probability and Statistics is the inaugural summer school in Probability and Statistics that will be held at the University of Warwick from the 7th-11th July 2025.

The purpose of the school is to engage PhD students and early-career researchers with cutting-edge topics at the frontiers of current knowledge. It will feature four lecture courses by leading experts that will explore recent developments on different themes: stochastic PDEs, random planar maps, directed polymers and Bayesian inference for time evolution PDEs. The programme will be complemented by discussion and exercise sessions so to maximise interaction among participants and speakers.

Below are the topics lectured at the conference and my rough notes thereof.

The supercritical GMC (Martin Hairer)

Scaling limits of random planar maps (Nina Holden)

Localization transition for directed polymers in a random environment in dimension larger than 3 (Hubert Lacoin)

Infinite-dimensional Bayesian inference for time evolution PDEs (Richard Nickl)

PDE & Probability in interaction: functional inequalities, optimal transport and particle systems

October 22, 2024

A brief description from the conference website

Several structural equations from physics describe systems composed of a large number of interacting particles. These equations play a role in a wide number of fields (kinetic theory of gases, population dynamics, economics, etc…). To understand their large scale behavior by taking some suitable scaling limit is a well-known scientific challenge which has generated an intense research activity in the past decades, laying at the intersection between probability theory and PDEs.

This conference will focus on the mathematical investigation of such particle systems and on fundamental tools which are currently developed for their study, in particular: functional inequalities, and optimal transport, which both find applications in several domains of applied mathematics. Our aim is to foster contacts between specialists of the varied areas of probability and PDEs that are connected to these topics, in order to develop new methods and applications.

Some notes based on Michael Goldman’s minicourse on the optimal matching problem