Ph.D in Mathematics

Junior seminar The rationality problem for the cubic fourfold Elena Sammarco (Università Roma Tre)

10/11/2023 - 14:30
aula B - Via della Vasca Navaler n. 84

Abstract: One of the main open problems of Birational Geometry is to determine the rationality of the cubic hypersurfaces in mathbb{P}^5, the so-called cubic fourfolds: to date there are few explicit results and several conjectures, but no universal criteria. After an overview of the state of the art of the problem on the complex field mathbb{C}, we briefly present a new geometric construction of a divisor in the moduli space of cubic fourfolds which could represent a significant contribution in this general discussion.

info: https://ricerca.mat.uniroma3.it/seminari/junior_seminars.html.