关于举行韩肖垄博士后（清华大学）学术报告会的通知

报告主题:  The geometry of the Thurston norm, geodesic laminations and Lipschitz maps

报  告  人:  韩肖垄（清华大学丘成桐数学中心）

报告时间:  2024年1月8日上午9:30-11:30

报告地点:  37号楼3A02

邀  请  人:  杜晓明，潘会平

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数学学院

2024年 1月3日

报告摘要：

For closed hyperbolic 3-manifolds, Brock and Dunfield made a conjecture about the upper bound on the ratio of L^2-norm to Thurston norm. We first talk about its proof and describe some generic behavior. We then talk about the connection between the Thurston norm, best Lipschitz circle-valued maps, and maximal stretch laminations, building on the recent work of Daskalopoulos and Uhlenbeck, and Farre, Landesberg, and Minsky. We show that the distance between a level set and its translation is the reciprocal of the Lipschitz constant, bounded by the topological entropy of the pseudo-Anosov monodromy if M fibers.

报告人介绍：

韩肖垄，博士毕业于美国伊利诺伊大学厄巴纳香槟分校，现于清华大学丘成桐数学中心任职博士后。主要从事三维流形与双曲几何方面工作。论文发表在Int. Math. Res. Not.、Journal of Topology and Analysis等期刊。