学术报告(9.02):史逸:The Teichmüller Space of a 3-Dimensional Anosov Flow
报告时间:2026年9月2日(周三)上午 09:30-10:25
报告地点:苏州大学天赐庄校区纯水楼301
报告人:史逸 教授,四川大学
报告摘要:
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.
邀请人:杨大伟