[EDUC Research] Seminar on Probability, Analysis and Mathematical Physics 12-14/11/25

General presentation

In 2025, University Paris Nanterre launched a call for scientific seminars aimed at federating research communities involving the alliance's foreign universities. The seminar on "Probability, Analysis and Mathematical Physics" (12-14/11/25) was awarded a grant from the EDUC network, enabling the development of partnerships on a European scale around scientific and technological projects.

Here is the english website of the project.
 
 

Presentation of the project

The aim of this conference is to bring together researchers specializing in different fields at the interface between probability theory and analysis, motivated by questions in mathematical physics.
We have chosen five major themes,  each with two one-hour presentations, including:
- The Anderson Hamiltonian in the continuous setting of spatial white noise, which is an example of interplays between probability and analysis, such as spectral theory or evolution PDEs in a spatial rough random environment.
- Stochastic analysis tools, crucial in the study of measures on paths with various motivations such as random continuum polymers or invariant measures of Hamiltonian PDEs.
- The evolution of non-equilibrium measure for Hamiltonian systems with the large scale limits of particle systems or random waves for turbulence involving kinetic equations.
- Recent breakthroughs in singular SPDEs have provided a new approach in constructive Quantum Field Theory, notably through the analysis of infinite-dimensional Markov processes. In particular, this motivates the study of SPDEs on manifolds to construct and study Yang-Mills theories.
- Finally, Arnaud Debussche, an internationally renowned specialist in random EDP, will present a talk on "stochastic PDEs"

The conference will be held in English, with simultaneous interpretation into French and Spanish available on request.

 

Organizers and guest speakers

Organizers: Hugo EULRY (ENS Lyon) and Antoine MOUZARD (Paris Nanterre University)

- Anderson Hamiltonian: Laure Dumaz (ENS Paris) and Immanuel Zachhuber (FU Berlin)
- Random continuous polymers: Quentin Berger (Université Sorbonne Paris Nord) and Clément Cosco (Université Paris Dauphine)
- Random waves and particles: Quentin Chauleur (INRIA Lille) and Isabelle Gallagher (Université Paris Cité)
- Quantum field theory: Ilya Chevyrev (SISSA) and Viet Dang (Université de Strasbourg)
- Dispersive PDEs and randomness: Nicolas Camps (Université de Rennes) and Tristan Robert (Université de Lorraine)
- Stochastic PDEs: Arnaud Debussche (ENS Rennes)

 

Scientific rationale

Each of these research areas is very active internationally, with leading representatives in France.
Some of the topics covered at this conference were greatly influenced by the recent results of Martin Hairer, which earned him the prestigious Fields Medal in 2014. He developed a new mathematical theory that solves a class of He has developed a new mathematical theory that solves a class of random PDEs known as singular PDEs, which have been central to mathematical physics since the 1950s. This has led to many major advances, particularly on questions surrounding the Anderson operator and associated equations, quantum field theory, and dispersive and random PDEs. Although these topics are very present in France, there is still relatively little interaction between them. One of the objectives of this conference is to create new collaborations in this direction by combining questions, tools, and recent results. In addition to the long presentations, we have scheduled regular breaks to encourage scientific discussion.

The organization of this conference coincides with the arrival of Antoine Mouzard (local organizer) as a new assistant professor at the University of Paris Nanterre, and part of the funding comes from the newcomer budget. The five previous themes are still underrepresented at the MODAL'X mathematics laboratory at the University, and this conference also aims to introduce these topics to other members of the laboratory. This could serve to create momentum around certain questions presented in connection with themes already present, such as probabilities, by strengthening the interaction with analysis and algebra, one of the laboratory's three main areas of focus. In particular, three speakers at the conference come from Rennes, a member of the European EDUC alliance, of which the University of Paris Nanterre is also a member.

Finally, the high quality of the research carried out by the speakers is illustrated in particular by the presence of several IUF holders and the awarding of prestigious prizes, such as the Rollo Davidson Prize (Chevyrev, 2024) and the Erwin Schrödinger International Institute Medal (Gallagher, 2023).

 

Previsional program

 

Wednesday 12 november 2025

9h30 - 10h30 - Welcome
10h30 - 11h00 L. Dumaz
11h00 - 12h00 I. Zachhuber
12h00 - 13h30 Déjeuner
13h30 - 14h30 Q. Berger
14h30 - 15h30 C. Cosco

Thursday 13 november 2025

9h30 - 10h30 I. Chevyrev
11h00 – 12h00 N.V. Dang
12h00 – 13h30 Lunch break
13h30 - 14h30 I. Gallagher
14h30 - 15h30 Q. Chaleur

Friday 14 november 2025

9h30 - 10h30 N. Camps
11h00 – 12h00 T. Robert
12h00 – 13h30 Lunch break
13h30 - 15h30 A. Debussche