Seminar series
Date
Thu, 01 May 2014
Time
16:00 - 17:00
Location
L5
Speaker
Ilya Vinogradov
Organisation
University of Bristol

Let $G=SL(2,\R)\ltimes R^2$ and $\Gamma=SL(2,Z)\ltimes Z^2$. Building on recent work of Strombergsson we prove a rate of equidistribution for the orbits of a certain 1-dimensional unipotent flow of $\Gamma\G$, which projects to a closed horocycle in the unit tangent bundle to the modular surface. We use this to answer a question of Elkies and McMullen by making effective the convergence of the gap distribution of $\sqrt n$ mod 1.

Please contact us with feedback and comments about this page. Last updated on 04 Apr 2022 14:57.