报告人：韩肖垄(清华大学）

时间：2023年11月10日 10:00-

腾讯会议ID: 116 321 129

摘要：For closed hyperbolic 3-manifolds M, Brock and Dunfield prove an inequality on the first cohomology bounding the ratio of the geometric L2-norm to the topological Thurston norm. Motivated by Dehn fillings, they conjecture that as the injectivity radius tends to 0, the ratio is big O of the square root of the log of the injectivity radius. We prove this conjecture for all sequences of manifolds which geometrically converge. Generically, we prove that the ratio is bounded by a constant, by showing that any least area closed surface is disjoint from the thin part. We then study 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.

简介：韩肖垄，清华大学博士后，伊利诺伊大学香槟分校博士，主要研究兴趣为双曲几何，低维流形等。

邀请人：周恒宇

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