Geometry and Invariants of 3-manifolds

为了更深入地理解三维流形的拓扑结构，我们研究了三维流形的几何结构与不变量之间的相互作用，得到了关于三维流形几何不变量整体行为的一些新结果.特别是在比较曲面的映射类的动力学不变量及其映射环面的单纯体积方面取得了一些进展。此外，我们还组织了一次国际会议，审查我们去年的活动，并指出了许多建议进一步方向的问题。

We have studied the interaction between geometric structures and invariants of 3-manifolds in order to get deeper understanding for their topology, and obtained several new results on global behavior of geometric invariants. In particular, the reporter attained a few progress on comparison of dynamical invariants of mapping classes of a surface and simplicial volumes of their mapping tori. Also, we have organized an international conference to review our activities in the last year, and pointed out many issues that suggest further direction.