Speaker: Fabrizio Barroero, TU Graz
Title: Counting integral points of fixed degree and bounded height
The Weil height is a function that measures the arithmetic complexity of an algebraic number. By Northcott's Theorem, sets of algebraic numbers of uniformly
bounded degree and height are finite. It is therefore natural to investigate the asymptotic behavior of the cardinality of such sets as the height bound tends
to infinity. In this seminar, after introducing the basic notions and giving an overview about past results, we explain a few recent results about algebraic
integers of fixed degree over an arbitrary number field.