Resurgence with multiple critical times
演讲者
Frederic Fauvet
时间
2025年12月12日 09:40 至 10:40
地点
A7-201
线上
Zoom 388 528 9728
(BIMSA)
摘要
We present Ecalle’s acceleration scheme, that makes it possible to analyze resurgence properties when several resurgence variables (“critical times”) coexist. We focus on the particular case of holonomic functions and give explicit examples of the bridge equation with several critical times.
演讲者介绍
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.