Séminaire Orléans

Effective equidistribution of twisted horocycles and some questions in number theory'
Giovanni Forni
Thursday 30 November 2017 14:00 -  Orléans -  Salle de Séminaire

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 area-surfaces and arbitrary orbits (Burger, Flaminio-Forni, Hejhal, Strombergsson, Bufetov-Forni,...). 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.

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