May 27 – 31, 2024
Institut Henri Poincaré
Europe/Paris timezone
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Classifying ergodic hyperbolic stationary measures on K3 surfaces with large automorphism groups

May 30, 2024, 2:00 PM
Amphithéâtre Hermite / Darboux (Institut Henri Poincaré)

Amphithéâtre Hermite / Darboux

Institut Henri Poincaré

11 rue Pierre et Marie Curie 75005 Paris


Megan Roda (University of Chicago)


Let $\mathrm{X}$ be a K3 surface with a large automorphism group $\mathrm{Aut}(\mathrm{X})$ (we do not assume that it contains any parabolic elements). Consider a probability measure $\mu$ on $\mathrm{Aut}(\mathrm{X})$; using the work of Cantat and DuJardin (2020) we study hyperbolic, ergodic $\mu$-stationary probability measures, and the supports of their conditional measures on the stable and unstable manifolds (which are a.e. biholomorphic to $\mathbb{C}$) using the techniques of Benoist and Quint (2011), and Eskin and Mirzakhani (2018).

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