题目：Lyapunov Exponents and Holomorphic Subbundles

报告人：于飞 副教授 （浙江大学）

地点：致远楼102室

时间：2016年12月23日 （周五）15：00~16：00

【摘要】Recently Eskin-Kontsevich-Moller-Zorich prove my conjecture that the sum of the top $k$ Lyapunov exponents is always greater or equal to the degree of any rank $k$ holomorphic subbundle(They generalize the original context from Teichmuller curves to any local system over a curve with non-expanding cusp monodromies). Furthermore, they conjecture that equality of the subgroup of its Lyapunov exponents and degrees is related to the monodromy group being a thin subgroup of its Zariski closure. I will introduce some backgrounds on those conjectures and some applications to Teichmuller dynamics and Calabi-Yau type families.

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