吴文俊数学重点实验室代数学系列讲座之四十五

报告人：于飞 博士
        厦门大学0029cc金沙贵宾会

题目：Lyapunov exponents and Harder-Narasimhan filtrations on Teichmueller curves

时间： 2013年4月25日 下午3:00-4:30

地点：管理科研楼1518

摘要：I will illustrate the relationship among interval exchange transformation, rational polygonal billiards, flat surfaces and Teichmueller geodesic flows in the moduli space of abelian differentials.
Then we introduce Weierstrass filtrations to study the Harder-Narasimhan filtration of Hodge bundles on Teichmueller curves. It can be used to improve many recently results about the Lyapunov spectrum of Teichmueller curves, which is firstly appeared in Kontsevich-Zorich's 1997 paper "Lyapunov exponents and Hodge theory". This is joint work with Kang Zuo.

主办单位: 0029cc金沙贵宾会

          中科院吴文俊数学重点实验室

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