It is well known in mathematical analysis that the pointwise product of functions does not have a canonical extension to the product of Schwartz distributions (also known as generalized functions).

Still, Quantum Field Theory and Stochastic Analysis naturally exhibit examples of non-linear partial differential equations whose solutions are expected to be distributions, and these equations are therefore ill-defined. The last fifteen years there has been impressive progress on these questions, mainly thanks to the work of Martin Hairer and Massimiliano Gubinelli. My aim is to present some of the main ideas underlying this research area, which spans beautifully across many areas in mathematics (analysis, probability, mathematical physics, algebra and geometry).

A seguito della conferenza

15:00-15:50 | Aula Aquario

Rinfresco

16.00 - 16.45 | Aula A102

Q&A with the speaker on:
Mathematics: joy and torment (croce e delizia)