M / E23

The correspondence between ideals in a quadratic number field and quadratic forms with integral coefficients dates back to Gauss and Dedekind. But what about quadratic forms whose coefficients are algebraic integers? We will present a generalization of the correspondence to some number fields, and we will show that it can be applied to generalize Bhargava's cubes.

Kristyna Zemkova

TU Dortmund