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
