A Minkowski-type result for linearly independent subsets of ideal lattices
Date
Thursday, October 3, 2019 13:30 - 15:30
Speaker
Gergely Harcos (MTA Rényi Institute, Budapest)
Location
Heinzel Seminar Room / Office Bldg West (I21.EG.101)
Series
Seminar/Talk
Tags
Mathematics and CS Seminar
Host
Timothy Browning
Contact
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.