报告人：杨云(Virginia Tech)

报告时间：2020/11/16(周一) 14:00-15:00

报告地点：腾讯会议，会议ID: 462 330 397, 密码：123456

报告摘要: Anosov systems are among the most well-understood dynamical systems. Special among them are the algebraic systems, affine systems on homogeneous spaces. In the diffeomorphism case, these are automorphisms of tori and nilmanifolds. In the flow case, the algebraic models are suspensions of such diffeomorphisms and geodesic flows on negatively curved rank one symmetric spaces. In this talk, we will show that given an integer $k\ge 5$, and a $C^k$ Anosov flow $\Phi$ on some compact connected 3-manifold preserving a smooth volume, the measure of maximal entropy is the volume measure if and only if $\Phi$ is $C^{k-\epsilon}$-conjugate to an algebraic flow, for $\epsilon>0$ arbitrarily small. This is a joint work with Jacopo De Simoi, Martin Leguil and Kurt Vinhage.

邀请人：陈剑宇