Speaker: Lei Yang (National University of Singapore)
Host: Xiaolong Hans Han
Abstract: Given a Lie group G and its lattice H, we will consider the homogeneous space G/H. Given a one-parameter unipotent subgroup U, we are interested in the distribution of U-orbits in G/H with a quantitative control. In the lecture series, I will talk about recent developments on the study of effective equidistribution of unipotent orbits in homogeneous spaces and explain the main ideas of the proofs for particular cases. I will start with a brief overview of the topic and related results. Then I will explain the framework and its connection to incidence geometry and harmonic analysis, and talk about the details of the proofs of the effective equidistribution for two cases: G = ASL(2,R) and G = SL(3,R).
Time: 04/21 Monday, 13:00-14:45; 04/23 Wednesday, 10:00-11:30; 04/25 Friday, 14:00-15:45 (updated)
Location: Online
Zoom Meeting ID: 986 5687 0412 (Passcode: 538243)
Introduction of the speaker: Lei Yang is an associate professor at National University of Singapore. He works on dynamical systems of group actions on homogeneous spaces and their applications to number theory. His recent research focuses on Diophantine approximation on manifolds, quantitative non-divergence and effective equidistribution of unipotent orbits in homogeneous spaces. His recent works in these areas have been published in (or accepted to) high quality peer reviewed journals, including Ann. Math., Acta Math., Invent. Math., Duke Math. J., and GAFA
English 
简体中文