Spectrum rigidity and joint integrability for Anosov diffeomorphisms

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.