Montréal, 4 - 7 décembre 2020
In the talk I will discuss certain diophantine conditions, and in particular I will show how a new
Margulis’ type inequality for translates of horospherical orbits helps verify such conditions,
a quantified equidistribution result for a large class of points, akin to the results of A. Strombreggson
dealing with $SL_2$ case.
In particular we deduce a fully effective quantitative equidistribution
for horospherical trajectories of lattices defined over number fields, without pertaining to the strong