DSNT Seminar: Primitive rational points on expanding horospheres: effective joint equidistribution

Welcome to attend this seminar held by Daniel El-Baz (TU Graz) with the title "Primitive rational points on expanding horospheres: effective joint equidistribution".

I will report on ongoing 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 manifolds 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.

See all upcoming seminars in the DSNT (Dynamical Systems and Number Theory) seminar series.