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A Minicourse on Resurgence Theory
Elementary resurgence for the prolate spheroidal wave equation
Elementary resurgence for the prolate spheroidal wave equation
Organizers
Speaker
Frederic Fauvet
Time
Wednesday, December 10, 2025 9:00 AM - 10:00 AM
Venue
A7-201
Online
Zoom 388 528 9728
(BIMSA)
Abstract
We provide a gentle introduction to the fundamental concepts of resurgence and alien calculus, by first studying a very simple linear ordinary differential equation with polynomial coefficients, which has an irregular singularity at $\infty$.
Speaker Intro
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.