The São Paulo Schools of Advanced Science are events financially supported by FAPESP that are organized since 2010 (see here).
For many years the stochastics community has built powerful tools to deal with various kinds of SPDEs. However, since long it has been a challenge to deal with SPDEs with a rough input noise that are not classically well posed. Such kind of equations often arise from the fluctuations of particle systems and many times are universal in a certain sense. Some years ago with works of Hairer, and Imkeller, Gubinelli and Perkowski it sudently became feasible to analyse singular SPDEs. Since then the area of singular SPDEs evolved into a new, exciting and fast moving area of research. Many problems that seemed out of reach are now solved or in sight.
This school is divided into two parts. In the first week there will be two introductory mini courses that lay the foundations for the courses of the second week. In the latter ones newly developed theories and their latest developments will be taught. To round up the program there will be further invited talks, poster sessions and a visit to the LNLS laboratories, the synchroton light laboratories at Campinas.