Dr. Davide Addona “Young equations in infinite dimension with singularities”

In this talk I will present some new results about Young differential
equation in infinite dimension with “rough” initial datum. During the
talk I will introduce the concept of Young integral for non smooth paths
defined by Young in 1936 and an algebraic approach to integration with
respect to non smooth paths due to Gubinelli in 2004, whose
generalization allows to consider abstract Cauchy problems driven by
a non smooth path. At last, I will give an idea of the extension of this
theory for rough paths started by Terry Lions in 1998 and developed by other authors in the last twenty years.