188比分直播

Spectrum rigidity and joint integrability for Anosov diffeomorphisms

发布者:文明办发布时间:2021-11-05浏览次数:188

  

主讲人:史逸  北京大学研究员

  

时间:2021年11月8日20:30

  

地点:腾讯会议 524 306 310

  

主办单位:数理学院

  

内容介绍:Let f be an irreducible Anosov diffeomorphism. Assume f is also absolutely  partially hyperbolic where the center bundle is weak stable. We show that if the  strong stable and unstable bundles are jointly integrable, then f is dynamically  coherent and fully leaf conjugates to its linear part A. Moreover, f admits the  finest dominated splitting in the weak stable bundle with the same dimension to  A, and has spectrum rigidity in all these sub-bundles. This is a joint work with  A.Gogolev.