Brandeis–Harvard–MIT–Northeastern Joint Mathematics Colloquium
Thu Apr 4, 2024 4:00–5:00 PM
Location
Off-campus, 126
Description
Speaker: Lei Yang (Institute of Advanced Studies)Title: Effective versions of Ratner’s equidistribution theoremAbstract: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. I will sketch 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.
- Brandeis–Harvard–MIT–Northeastern Joint Mathematics ColloquiumSpeaker: Lei Yang (Institute of Advanced Studies)Title: Effective versions of Ratner’s equidistribution theoremAbstract: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. I will sketch 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.