Seminars & Colloquia Calendar
Can a random lattice and its dual be independent?
Anders Södergren (Chalmers University)
Date & time: Tuesday, 20 April 2021 at 2:00PM - 3:00PM
Abstract: In this talk I will discuss Rogers' mean value formula in the space of unimodular lattices as well as a recent generalization of Rogers' formula. In particular, I will describe a formula for mean values of products of Siegel transforms with arguments taken from both a lattice and its dual lattice. The main application is a result on the joint distribution of the vector lengths in a random lattice and its dual lattice in the limit as the dimension of the lattices tends to infinity, and provides a partial affirmative answer to the question in the title. This is joint work with Andreas Strömbergsson.
Zoom Password: rutgersnts