Home /  Hausdorff dimension of non-conical limit sets

Seminar

Hausdorff dimension of non-conical limit sets April 13, 2026 (02:00 PM PDT - 03:00 PM PDT)
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Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Beibei Liu (Ohio State University)
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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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