Pankaj Vishe
Durham University, UK
January 16, 2016
Uniform bounds for Period integrals and sparse equidistribution: Let $M$ be a compact quotient of $SL(2,R)$ and let $f$ be a smooth function of zero average on $M$. We use spectral methods to get uniform (i.e. independent of spectral gap) bounds for twisted averages of $f$ along long horocycle orbit segments. We apply this to obtain an equidistribution result for sparse subsets of horocycles on $M$. This is a joint work with J. Tanis.
Durham University, UK
January 16, 2016
Uniform bounds for Period integrals and sparse equidistribution: Let $M$ be a compact quotient of $SL(2,R)$ and let $f$ be a smooth function of zero average on $M$. We use spectral methods to get uniform (i.e. independent of spectral gap) bounds for twisted averages of $f$ along long horocycle orbit segments. We apply this to obtain an equidistribution result for sparse subsets of horocycles on $M$. This is a joint work with J. Tanis.