Institute of Mathematics


Modul:   MAT760  Ergodic theory and dynamical systems seminar

An effective equidistribution result in the space of 2-dimensional tori with k marked points

Talk by Prof. Dr. Andreas Strömbergsson

Speaker invited by: Prof. Dr. Claire Burrin

Date: 24.04.24  Time: 13.30 - 14.30  Room: ETH HG G 19.1

Let X be the homogeneous space Gamma \ G, where G is the semidirect product of SL(2,R) and a direct sum of k copies of R^2, and where Gamma is the subgroup of integer elements in G. I will present a result giving effective equidistribution of 1-dimensional unipotent orbits in the space X. The proof makes use of the delta method in the form developed by Heath-Brown. Joint work with Anders Södergren and Pankaj Vishe.