报告题目：Conformal density for groups with contracting elements

报告人：杨文元，北京大学

时间：2022年11月10日（星期四）10:00-11:00

腾讯会议：647-4448-8711 

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https://meeting.tencent.com/dm/VvMCGE4fgWA0

摘要：In 1976, S. Patterson introduced a class of conformal measures on the limit set of Fuchsian groups, and further developed by D. Sullivan in Kleinian groups with various applications in spectral geometry, Mostow rigidity, geodesic flows and complex dynamics etc. These now called Patterson-Sullivan measures are important instances of conformal density for rank-1 symmetric spaces. In this talk, we will explain how to establish a theory of Patterson-Sullivan measures on the horofunction boundary for any discrete groups on geodesic metric spaces with contracting elements. Such group actions contain CAT(0) groups and mapping class groups, so our theory could be applied. Applications to growth problems and geodesic flows shall be mentioned, if time permits.

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