ETDS: Sparse equidistribution in unipotent flows

22 June 2017, 3.00 PM - 22 June 2017, 4.00 PM

Asaf Katz, The Hebrew University

4th floor seminar room, Howard House

Equidistribution problems, originating from the classical works of Kronecker, Hardy and Weyl about equidistribution of sequences mod 1, are of major interest in modern number theory. We will discuss how some of those problems relate to unipotent flows and present a conjecture by Margulis, Sarnak and Shah regarding an analogue of those results for the case of the horocyclic flow over a Riemann surface. Moreover, we provide evidence towards this conjecture by bounding from above the Hausdorff dimension of the set of points which do not equidistribute.

Contact information

Speaker: Asaf Katz

Organizers: Michael Bromberg, Liviana Palmisano

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