QM Research Seminar: Ecalle's paralogarithms and the inverse problem in alien calculus

Speaker: Frederic Fauvet (IRMA, University of Strasbourg)


Abstract:

Paralogarithms constitute a family of resurgent functions which have been introduced by J. Ecalle, in order to solve, in a very general and systematic way, inverse problems of Riemann--Hilbert type that are expressed in the formalism of alien derivations. I will present "paralogarithmic resurgence monomials" and describe how they are implemented to yield differential equations with given sets of Stokes data, focussing on a simple non--linear example.