Indecomposable algebraic integers

Abstract: The ring of all algebraic integers carries the structure of a "Hilbert lattice", which means that its additive group may be viewed as a discrete subgroup of a Hilbert space. As a consequence, that group is generated by the set of "indecomposable algebraic integers". There are not too many of those; in fact, only finitely many for each degree. The lecture surveys what we know and what we would like to know about these indecomposable algebraic integers. It represents joint work with Ted Chinburg and Daan van Gent.

Mathematics

Audience: general audience

Heilbronn Annual Conference 2020