Minimum distance in a classical lattice from algebraic number fields

Abstract: 

In algebraic number theory, given a number field, the lattice derived from its embeddings by using its ring of integers is used to prove that the class number of the number field is finite. In this talk, we reconsider this lattice by studying its minimum distance. For example, we show that when the number field has few non-real embeddings, the minimum distance of the lattice can be computed exactly. (This is joint work with Artūras Dubickas and Igor E. Shparlinski.)