Title: The critical exponent: old and new.
Abstract: The critical exponent is an important numerical invariant of discrete isometry groups acting on negatively curved Hadamard manifolds, Gromov hyperbolic spaces, and higher-rank symmetric spaces. In this talk, I will focus on discrete isometry groups acting on hyperbolic spaces. In particular, I will explain how the numerical invariant is closely related to geometry, dynamics, and representation of the group action on hyperbolic spaces.
Bio: Dr. Liu received her PhD from the University of California Davis in 2019 and is currently a Moore Instructor at the Massachusetts Institute of Technology.
For those that will be unable to attend this talk in person, a Zoom link is also available: https://illinois.zoom.us/j/87381472576?pwd=QjBpRTBrSm9Md3l1SUpUZ2VtK0U2UT09&from=addon
