The conference is dedicated to the memory of our colleague, mentor and friend Errico Presutti who left us in December 2024. It will consist of few talks in order to allow ample time for discussions on the topics on which Errico was active and innovative such as Equilibrium and Non-equilibrium Statistical Mechanics, Field Theory and Stochastic Processes among others. Who knew Errico remembers him with regret, affection and gratitude. Web page: https://errico-presutti.mat-univaq.com/home