Matt Clay (Arkansas) - Thermodynamic metrics on outer space
Опубликовано: 29 Июль 2026
на канале: 2017-2018 Warwick EPSRC Symposium on Geometry, Topology and Dynamics in Low Dimensions
на канале: 2017-2018 Warwick EPSRC Symposium on Geometry, Topology and Dynamics in Low Dimensions
143
2
Geometry of Teichmüller space and mapping class groups
13 April 2018
Abstract: I will discuss a Riemannian metric on the Culler-Vogtmann outer space arising from the tools of thermodynamic formalism. In the context of surfaces, McMullen showed that this metric is proportional to the Weil-Petersson metric on Teichmüller space. This is joint work with Tarik Aougab and Yo’av Rieck.