Seminar:
Group Actions, Geometry and Dynamics
Event time:
Thursday, December 7, 2023 - 4:00pm
Location:
KT205
Speaker:
Lei Yang
Speaker affiliation:
IAS
Event description:
I will talk about recent progress in the study of quantitative equidistribution of unipotent orbits in homogeneous spaces, namely, effective versions of Ratner’s equidistribution theorem. In particular, I will explain the main idea of my proof for unipotent orbits in SL(3,R)/SL(3,Z). The proof combines new ideas from harmonic analysis and incidence geometry. In particular, the quantitative behavior of unipotent orbits is closely related to a Kakeya model.