03-22【杨 磊】五教5305 吴文俊数学重点实验室Dynamical Systems Seminar

发布者:万宏艳发布时间:2021-03-19浏览次数:213

报告题目: Local rigidity of higher rank actions on nilmanifolds by partially hyperbolic automorphisms 


报告人:杨磊,四川大学



时间:2021年3月22日(周一)下午4:00-5:00


地点:东区第五教学楼5305教室



摘要: In this talk, we will prove a local rigidity result on higher rank actions on nilmanifolds by partially hyperbolic automorphisms using the KAM scheme. This extends Damjanovic and Katok’s result which resolves the problem for tori. Compared with their work, we use the Fisher-Kalinin-Spatzier argument relying on exponential mixing to replace the Fourier analysis technique which does not apply to nilmanifolds. This is an ongoing work joint with Ralf Spatzier. 




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