研讨班报告

多复变与复几何研讨班:Hausdorff dimension of non-conical limit sets

发布时间:2026-08-13

院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

多复变与复几何研讨班

Speaker: Beibei Liu(俄亥俄州立大学)

Inviter: 刘劲松

Language: English

Title: Hausdorff dimension of non-conical limit sets

Time & Venue: 2026813星期 14:00- 15:00&南楼N913

Abstract:Geometrically infinite Kleinian groups have nonconical limit sets with the cardinality of the continuum. In this talk, we present geometrically infinite Fuchsian groups such that the Hausdorff dimension of the nonconical limit set equals zero. On the contrary, for finitely generated, geometrically infinite Kleinian groups, we prove the Hausdorff dimension of the nonconical limit set is positive, and conjecture to be maximal. This is joint work with Kapovich. 



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