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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: Mathematics and CS Seminar
Host: Timothy Browning

Abstract:

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.
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