3. Oct 2019

A Minkowski-type result for linearly independent subsets of ideal lattices

Datum: 3. October 2019 | 13:30 – 15:30
Sprecher: Gergely Harcos, MTA Rényi Institute, Budapest
Veranstaltungsort: Heinzel Seminar Room / Office Bldg West (I21.EG.101)

We estimate, in a number field, the maximal number of linearly independent elements with prescribed bounds on their valuations. As a by-product, we obtain new bounds for the successive minima of ideal lattices. Our arguments combine group theory, ramification theory, and the geometry of numbers. This is joint work with Mikolaj Fraczyk and Pter Maga.