学术报告(李智强 2026.1.15)

Rigidity and Quasisymmetric Uniformization of Thurston-type Maps

发布人:姚璐
主题
Rigidity and Quasisymmetric Uniformization of Thurston-type Maps
活动时间
-
活动地址
新数学楼403+405
主讲人
李智强 副教授(北京大学)
主持人
罗俊 教授

摘要:We introduce a class of branched covers on oriented closed connected topological n-manifolds called expanding Thurston-type maps, which generalize expanding Thurston maps on 2-spheres. We show that, for n ⩾ 3, a visual metric for an expanding combinatorial Thurston map on an oriented closed connected Riemannian n-manifold is quasisymmetrically equivalent to the Riemannian metric if and only if the map is uniformly quasiregular. A fortiori, such an expanding Thurston-type map is uniformly quasiregular if and only if it is a Lattes map. This is based on joint work with Pekka Pankka and Hanyun Zheng.