Effective equidistribution of horocycle maps

Series: 
CDSNS Colloquium
Monday, November 16, 2015 - 11:00
1 hour (actually 50 minutes)
Location: 
Skiles 005
,  
College de France
Organizer: 
We prove results concerning the equidistribution of some "sparse" subsets of orbits of horocycle flows on $SL(2, R)$ mod lattice. As a consequence of our analysis, we recover the best known rate of growth of Fourier coefficients of cusp forms for arbitrary noncompact lattices of $SL(2, R)$, up to a logarithmic factor.  This talk addresses joint work with Livio Flaminio, Giovanni Forni and Pankaj Vishe.