Seminars

Home Schools Mathematics Seminars

TITLE: Pressure Metrics on Geometric Structures of Manifolds and Dynamical Systems

ABSTRACT: The study of the pressure metric began with the extension of the Weil–Petersson metric from Teichmüller space to quasi-Fuchsian space (Bridgeman–Taylor) and its connection to thermodynamic formalism (McMullen). This talk will review foundational results and recent developments on pressure metrics, followed by open questions and partial results concerning the pressure metric on the space of Blaschke products. The talk is based on joint work with Yan Mary He and Homin Lee.