Meetings/Workshops on Mathematical Physics in France
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ISAF-2019 — Integrable systems and automorphic forms
19 Feb 2019 - 22 Feb 2019 • Lille, France
This conference belongs to a series of conferences in Lille whose common point is the unity of geometric and arithmetic aspects in certain moduli problems. The algebro-geometric objects in the scope include sheaves, principal bundles, connections and Higgs fields, holomorphically symplectic varieties and integrable systems. The arithmetical aspect comes from the fact that these moduli spaces are arithmetic quotients and are described in terms of automorphic forms.
Integrable systems, symplectic varieties, automorphic forms, modular forms, Lagrangian fibrations, moduli spaces, vector bundles, moduli of sheaves, Higgs fields, quadratic algebras
RESEARCH SCHOOL — Coulomb Gas, Integrability and Painlevé Equations
11 Mar 2019 - 15 Mar 2019 • CIRM Luminy, Marseille, France
Nonlinear integrable systems and their solutions form the core of modern mathematical physics. In recent years, Painlevé's equations have emerged as the core of special function theory. Painlevé equations can be derived from integrable PDEs after scaling reductions. They are also obtained in the matching of asymptotic expansions in the quest to describe critical behaviour in solutions to Hamiltonian PDEs. In this case they play the same role as the Airy function or the Pearcey integral play in the study of the semiclassical limit of the linear Schrodinger equation. Increasingly, as nonlinear science develops, solutions to an extraordinary broas array of scientific problems can be expressed in terms of Painlev? transcendents. The aim of this reserach school is to bring together PhD. students, Postdocs and junior faculty members to focus on the new developements in these fertile lines of research. The proposed format is 4 lectures a day and a free afternoon for discussions.
Jean-Morlet Chair Integrability and Randomness in Mathematical Physics
08 Apr 2019 - 12 Apr 2019 • CIRM Luminy, Marseille, France
Over the last 20 years integrability has assumed an increasingly prominent role in various fields of mathematical physics. The modern theory of integrable systems grew up around the study of the Korteweg de Vries (KdV) equation, with origins in the seminal work of Zabusky and Kruskal about the recurrence behaviour of solutions, the discovery of the Lax pair, multi-soliton solutions and infinite number of conservation laws. In other surprising connections, integrable systems like the KdV equation and the Toda lattice were proven to appear in fundamental combinatorial models, in random matrices and the geometry of moduli spaces. The aim of the conference will be to foster interactions among researchers that work in the following fields: - integrable systems and their connections to geometry - random matrices, determinantal point processes and integrable probability - dispersive PDEs in random environment.
Summer School on Mathematical Crystallography
03 Jun 2019 - 07 Jun 2019 • Nancy, France
Twistors meet Loops in Marseille
02 Sep 2019 - 06 Sep 2019 • Luminy, Marseille, France
Twistor theory, loop quantum gravity
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Last updated: 07 January 2019