Classifying Hyperbolic Ergodic Stationary Measures on K3 Surfaces with Large Automorphism Groups

Seminar: 
Group Actions and Dynamics
Event time: 
Monday, February 3, 2025 - 4:00pm
Location: 
KT 207
Speaker: 
Megan Roda
Speaker affiliation: 
University of Chicago
Event description: 
Let $X$ be a K3 surface. Consider a finitely supported probability measure $\mu$ on Aut(X) such that $\Gamma_{\mu} = \langle Supp(\mu)\rangle < Aut(X)$ is non-elementary. We do not assume that $\Gamma_{\mu}$ contains any parabolic elements. We study and classify hyperbolic ergodic $\mu$-stationary probability measures on $X$.