Mirzakhani关于地震流的研究
Mirzakhani's work on earthquake flow
摘要：
通过剪切曲面的多边形表示，可以在奇异平面的某些模空间上具体定义Teichmuller幂幺流. Thurston在双曲曲面的模空间上的地震流则更为神秘。这两种流动都与数学的其他领域有着深刻而重要的联系。在这个短暂的调查，我们给出了一个几何帐户背后的主要思想Mirzakhani的定理有关这两个流量。我们的演示文稿避免了一些技术先决条件，这些先决条件在最初的更具分析性的演示文稿中有所体现。
英文摘要：
The Teichmuller unipotent flow can be defined concretely on certain moduli spaces of singular flat surfaces by shearing polygonal presentations of the surfaces. Thurston's earthquake flow on moduli spaces of hyperbolic surfaces is more mysterious. Both flows have deep and important connections to other areas of mathematics. In this expository survey we give a geometric account of the main ideas behind Mirzakhani's theorem relating these two flows. Our presentation avoids some technical prerequisites that featured in the original more analytic presentation.
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