27–31 mai 2024
Institut Henri Poincaré
Fuseau horaire Europe/Paris
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Classifying ergodic hyperbolic stationary measures on K3 surfaces with large automorphism groups

30 mai 2024, 14:00
1h
Amphithéâtre Hermite / Darboux (Institut Henri Poincaré)

Amphithéâtre Hermite / Darboux

Institut Henri Poincaré

11 rue Pierre et Marie Curie 75005 Paris

Orateur

Megan Roda (University of Chicago)

Description

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

Documents de présentation

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