Primitive rational points on expanding horospheres: effective joint equidistribution

24.11.2022 15:15 - 16:15

Daniel El-Baz (TU Graz)

Abstract: I will report on joint work with Min Lee and Andreas Strömbergsson. Using techniques from analytic number theory, spectral theory, geometry of numbers as well as a healthy dose of linear algebra and building on a previous work by Bingrong Huang, Min Lee and myself, we furnish a new proof of a 2016 theorem by Einsiedler, Mozes, Shah and Shapira. That theorem concerns the equidistribution of primitive rational points on certain homogeneous spaces and our proof has the added benefit of yielding a rate of convergence. It turns out to have several (perhaps surprising) applications to number theory and combinatorics, which I shall also discuss. 

D. Ravotti

BZ 9, 9. OG, OMP1