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学术报告

【学术报告】Spectral rigidity and joint integrability for Anosov diffeomorphisms on tori
发布日期:2022-09-15  浏览量:

微分动力系统学术报告

报告题目: Spectral rigidity and joint integrability for Anosov diffeomorphisms on tori


告人:史逸(北京大学)


时间: 2022-09-22 09:30-10:30


腾讯会议: 273-440-954


摘要: In this talk, we address on the strong rigidity properties from joint integrability in the setting of Anosov diffeomorphisms on tori. More specifically, for an irreducible Anosov diffeomorphism with splitted stable bundle, the joint integrability of the strong stable and full unstable subbundles implies existence of fine dominated splitting along the weak stable subbundle as well as Lyapunov exponents rigidity. This builds an equivalence bridge between the geometric rigidity (joint integrability) and dynamical spectral rigidity (Lyapunov exponents rigidity) for Anosov diffeomorphisms on tori.

This talk is based on a joint work with A. Gogolev.


邀请人:文晓、张金华

 

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