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A Minicourse on Resurgence Theory
Ecalle's averaging operators for real summation (and commented bibliography).
Ecalle's averaging operators for real summation (and commented bibliography).
演讲者
Frederic Fauvet
时间
2025年12月12日 10:30 至 11:30
地点
A7-201
线上
Zoom 388 528 9728
(BIMSA)
摘要
We address the question of the real summation of divergent series of natural origin, with real coefficients; this involves subtle compensation mechanisms for the various branches of resurgent functions over the real axis, achieved through averaging procedures which respect tight constraints.
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.