Wednesday 28 January 2026 at 2 pm, as part of the “Mathematics and Physics Seminar in Milan” series, Prof. Luigi Ambrosio (Scuola Normale Superiore, Pisa) will give the following talk
Title: Well posedness of ODE's for nonsmooth velocities and in non Euclidean ambient spaces: a survey
Abstract: In this lecture I will make a survey of the theory of regular lagrangian flows, that allows to prove existence, uniqueness and stability for ODE's associated to vector fields with little regularity, beyond the classical Cauchy-Lipschitz theory. Initiated in a work by Di Perna and Lions who dealt with Sobolev vector fields, the RLF axiomatization provides natural links with Probability. More recent developments, including the regularity of the flow map, counterexamples and the case when even the ambient space is not smooth, will be discussed.
Information to attend
The seminar will be held in Room U6-30 (U6 Building | Piazza dell'Ateneo Nuovo 1, Milano), University of Milano-Bicocca.
A coffee break will follow
All interested are invited to participate