Seminar 4.20.17 Khalil

Title: Birkhoff’s Theorem, Sparse Equidistribution and Translates of Measures on Homogeneous Spaces

SpeakerOsama Khalil (Ohio State University)

Abstract: Many applications of homogeneous dynamics in number theory and geometry involve showing that the translates of a non-invariant measure by a sequence of transformations become equidistributed towards a distinguished ergodic invariant measure. We will discuss some of these results and the applications of their pointwise refinements to sparse equidistribution of unipotent flows and diophantine approximation.