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