We discuss quantitative density of rational points lying on algebraic varieties. In many cases the set of rational points can be parametrised using actions of algebraic groups. Then this problem can be explored using dynamical systems and harmonic analysis techniques. We outline an approach to Diophantine approximation on homogeneous varieties based on ergodic theorems with explicit rates determined by the spectral gap property of automorphic representations. This is a joint work with A.Ghosh and A.Nevo.
Freitag, den 23. November 2012 um 12.00 - 14.00 Uhr, in INF 288, HS 5 Freitag, den 23. November 2012 at 12.00 - 14.00, in INF 288, HS 5
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Anna Wienhard