[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.
 
 

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.
There will be an eleventh presentation by Arnaud Debussche, an internationally renowned specialist in random EDP.
Each speaker has been chosen for their scientific expertise, but also for the high quality of their presentations. Indeed, one of the aims of this meeting is to create new connections between these fields, which is why we have chosen one-hour presentations, which are relatively long in mathematics.
Each presentation will begin with an accessible introduction to the issues in the field, followed by a more detailed explanation of the tools used and the results obtained.
The aim is to encourage the exchange of ideas and the development of new research directions.

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 operator and associated equations: L. Dumaz and I. Zachhuber
- Continuous random polymers: Q. Berger and C. Cosco
- Random waves and particle systems: E. Faou and I. Gallagher
- Quantum field theory: N.V. Dang and I. Chevyrev
- Dispersive and random partial differential equations (PDEs): N. Camps and T. Robert

 

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

10h30 – 11h00 Welcome
11h00 - 12h00 L. Dumaz
12h00 - 13h30 Déjeuner
13h30 - 14h30 I. Zachhuber
14h30 - 15h30 A. Debussche
16h00 - 17h00 Discussion

Thursday 13 november 2025

9h30 - 10h30 I. Chevyrev
11h00 – 12h00 N.V. Dang
12h00 – 13h30 Lunch break
13h30 - 14h30 I. Gallagher
14h30 - 15h30 E. Faou
16h00 - 17h00 Q. Berger

Friday 14 november 2025

9h30 - 10h30 C. Cosco
11h00 – 12h00 N. Camps
12h00 – 13h30 Lunch break
13h30 - 14h30 T. Robert