Moments of Margulis functions and indefinite ternary quadratic forms
Wooyeon Kim
2024-05-01 14:00-15:00
MCM110
Speaker: Wooyeon Kim (ETH Zurich)Time: 14:00-15:00 May 1st, 2024 (Wednesday)
Venue: MCM110
Title: Moments of Margulis functions and indefinite ternary quadratic forms
Abstract: We consider the moments of the Margulis \alpha-function integrating over expanding translates of a unipotent orbit in the space of 3-dimensional lattices. I will present a uniform boundedness result for the moments of the Margulis function over expanding translates of a unipotent orbit, under suitable Diophantine conditions of the initial unipotent orbit. I will also talk about its application in the distribution of values of an indefinite irrational ternary quadratic form at integral points.
