学术报告(9.02):张金华:A Conservative Partially Hyperbolic Dichotomy: Hyperbolicity versus Nonhyperbolic Measures
报告时间:2026年9月2日(周三)上午 10:30-11:25
报告地点:苏州大学天赐庄校区纯水楼301
报告人:张金华 教授,吉林大学
报告摘要:
In this talk, we will focus on the classical examples of partially hyperbolic diffeomorphisms in dimension three: Derived from Anosov diffeomorphisms, diffeomorphisms in neighborhoods of the time-one map of the geodesic flow on a surface of negative curvature, and skew products with circle fibers. For any of these classes, under the conservative assumption, we establish the following dichotomy: either the diffeomorphism is Anosov, or it possesses nonhyperbolic ergodic measures. This is a joint work with L. Diaz and J. Yang.
邀请人:杨大伟