L-functions in Analytic Number Theory Seminar: Emanuel Carneiro
Topic
Effective equidistribution of Galois orbits for mildly regular test functions
(This talk will take place at 10 am Pacific time. Note the unusual time.)
Speakers
Details
We provide a detailed study on effective versions of the celebrated Bilu's equidistribution theorem for Galois orbits of sequences of points of small height in the N-dimensional algebraic torus, identifying the qualitative dependence of the convergence in terms of the regularity of the test functions considered. We develop a general Fourier analysis framework that extends previous results obtained by Petsche (2005), and by D'Andrea, Narváez-Clauss and Sombra (2017). This is a joint work with Mithun Das (ICTP).