Beijing Institute of Mathematical Sciences and Applications

This is a minicourse with 4 lectures on resurgence theory given by Prof. Frederic Fauvet (IRMA, Strasbourg University, France).

Frédéric Fauvet is a French mathematician working in analysis and dynamical systems. He is a Maître de conférences at IRMA (Institut de Recherche Mathématique Avancée), Université de Strasbourg, and a CNRS researcher. His work sits at the crossroads of resurgent analysis, dynamical systems, and algebraic/combinatorial structures such as Hopf algebras and operads, often using Jean Écalle’s mould calculus to study divergent series, linearization problems, and analytic classification in one- and several-dimensional dynamics. In mathematical physics, Fauvet has applied resurgence techniques to quantum field–theoretic toy models, for instance in joint work on the ϕ^{2k} model in zero dimension. He has also co-edited research volumes such as From Combinatorics to Dynamical Systems and Asymptotics in Dynamics, Geometry and PDEs, helping to build bridges between combinatorics, asymptotic analysis, geometry, and PDEs.