The Teichmuller Space of a 3-Dimensional Anosov Flow

报告人：史逸（四川大学）

时  间：2026年9月7日16:00

地  点：海韵园实验楼S208

内容摘要:

For a transitive Anosov flow Φ on 3-dimensional closed manifold M, we realize its Teichmüller space in the sense of smooth orbit-equivalence classes as a product of two function spaces. As an application, we show the path-connectedness of the orbit-equivalence space of 3-dimensional transitive Anosov flows which gives a positive answer of Potrie in dimension 3. Further, in the space of C^r-smooth 3-dimensional Anosov flows on M, we show that the path component containing this flow is homotopy equivalent to the identity component of the diffeomorphism group of the manifold. This is a joint work with R. Gu.

个人简介：

史逸，四川大学教授，研究方向为微分动力系统，入选国家级青年人才项目并主持国家重点研发计划青年科学家项目，在Proc. LMS、Compos. Math.、Adv. Math.、CMP、Comment. Math. Helv.等期刊发表多篇论文。

联系人：朱玉峻