# The connection between quadratic forms and Hassett-maximal cubic fourfolds

Seminar

Speaker

Elad Gal (Technion)

Date

07/02/2024 - 11:30 - 10:30Add to Calendar

`2024-02-07 10:30:00``2024-02-07 11:30:00``The connection between quadratic forms and Hassett-maximal cubic fourfolds``Let S be a set of natural numbers. Is it possible to find an integral n-ary quadratic form with f(Z^n)=S? In this lecture we will discuss integral quadratic forms and questions of representability of natural numbers by quadratic forms. We will define "formally-supported sets" and present some types of questions that should be asked about such sets and forms. Mainly, we will be concerned with one specific example of a formally-supported subset, and using its properties to compute the dimension of the space of all multi-Hassett cubic fourfolds.``Third floor seminar room and Zoom``אוניברסיטת בר-אילן - Department of Mathematics``mathoffice@math.biu.ac.il``Asia/Jerusalem``public`Place

Third floor seminar room and Zoom

Abstract

Let S be a set of natural numbers. Is it possible to find an integral n-ary quadratic form with f(Z^n)=S?

In this lecture we will discuss integral quadratic forms and questions of representability of natural numbers by quadratic forms. We will define "formally-supported sets" and present some types of questions that should be asked about such sets and forms. Mainly, we will be concerned with one specific example of a formally-supported subset, and using its properties to compute the dimension of the space of all multi-Hassett cubic fourfolds.

Last Updated Date : 14/02/2024