Homogeneous Flows, Moduli Spaces and Arithmetic

course: Equidistribution on homogeneous spaces and the analytic theory of L-functions

speaker: Akshay Venkatesh (New York University)

abstract: I will discuss the connection between effective equidistribution, the spectral gap, and questions in analytic number theory.

In the first lecture, I will try to give historical context by explaining Kloosterman's work from the 1920s, its connection to Selberg's 316 theorem, and the interpretation in terms of effective equidistribution of horocycle flows.

In the second and third lectures, I will discuss effective equidistribution of closed orbits of semisimple groups, acting on homogeneous spaces.This will be based on a joint paper with M. Einsiedler and G. Margulis. I will try to emphasize the connection to spectral gap in higher rank.

timetable:
Wed 4 Jul, 11:00 - 12:00, Aula Dini
Thu 5 Jul, 11:00 - 12:00, Aula Dini
Fri 6 Jul, 11:00 - 12:00, Aula Dini
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