Conférence de systèmes dynamiques.
Résumé
Results on the effective equidistribution of closed, cuspidal horocycles were first proved by Zagier (1981) and Sarnak (1981). The results were later extended to all finite areasurfaces and arbitrary orbits (Burger, Flaminio-Forni, Hejhal, Strombergsson, ...). In this talk we will consider the question of effective equidistribution of twisted horocycles in connection with sparse equidistribution problems (horocycle maps at polynomial times, at prime times) and Fourier coefficients of cusp forms. Joint work with Livio Flaminio and James Tanis.
