Luogo: Aula Newton Plesso FisicoRelatore: David Sauzin - CNRS e SNS-PisaE mail di riferimento: raffaelella.burioni@unipr.itAbstract:Resurgence theory was developed by J.Ecalle in the 1980s to deal with divergent series originating with dynamical system problems. Based on Borel-Laplace summation, it defines a novel framework for series expansions: one is naturally led to go from series to trans-series (instantons) to measure resummation ambiguities. Resurgence was studied in mathematical problems involving differential or difference equations, but also in mathematical physics, in relation with WKB expansions and more recently string theory and quantum field theory. I'll illustrate the basic definitions and facts of resurgence theory on some examples. PDF sem-sauzin.pdf
