Hi everyone, Alberto will be giving a small informal talk tomorrow at 11:00. Title and abstract below. Will Join us online at https://meet.jit.si/CQISeminarTalks Title: Cayley-Bacharach theorems Abstract: Whereas there are well-defined methods to establish the existence and number of solutions of over-determined linear equations, few results are known about overdetermined polynomial equations. These results are known under the name of Cayley-Bacharach theorems. I will trace back the historical evolution of these theorems from an early ancient result by Pappus to the present state of the art.