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Elementary resurgence for the prolate spheroidal wave equation

组织者

李镛 , Si Li , 唐鑫星 , 王路瑶

演讲者

Frederic Fauvet

时间

2025年12月10日 09:00 至 10:00

地点

A7-201

线上

Zoom 388 528 9728 (BIMSA)

摘要

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 $\infty$.

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.