Monday 13 July 2026 at 3 pm, as part of the Al@Bicocca seminar cycle, Ilaria Viglino (École Polytechnique Fédérale de Lausanne) will hold the following talk
Title: Moment estimates of module lattice points for effective lattice constructions
Abstract: We examine the moments of the number of lattice points in a fixed ball of volume V for lattices in Euclidean space which are modules over the ring of integers of a number field K. In particular, we show that moments obtained for “lifts of codes” to OK-modules converge to the Rogers integral formula for the space of free OK-module lattices. This extends work of Rogers for Z-lattices.
Joint work with Maryna Viazovska, Nihar Gargava and Vlad Serban.
Information to attend
The seminar will be held in Room U9-08 (U9 Building | Viale dell’innovazione 10, Milano) and will also be available online by this link.
For more information, visit the website