Projective spaces are the most basic algebraic varieties that we know and rational varieties are those that are the closest possible to being projective spaces. The question of rationality of algebraic varieties has led to the development of a rich and beautiful theory and many questions are still open. Historically, the rationality problem for quadric and cubic surfaces was settled classically over one hundred years ago. In this seminar, we will talk about some rational cubic fourfolds that are known. We look for them inside Hassett Divisors; These divisors are codimension one varieties in the Moduli space of cubic fourfolds. Maggiori informazioni sul sito: https://ricerca.mat.uniroma3.it/seminari/junior_seminars.html