Livsic's theorem revisited
报告人：Mark Pollicott (University of Warwick)
时间：2026-05-12 22:00-23:00（Beijing Time）
地点：Online（Zoom）
Abstract: Livsic's famous theorem for hyperbolic systems states that a Holder continuous function which sums/integrates to zero around all closed orbits is necessarily a couboudary. Recently F. Rodriguez-Hertz and A. Gogolev proved an interesting Abelian Livsic Theorem whereby they assume the hypothesis on fewer closed orbits and still obtain a (slightly modified) conclusion. In this talk I will present a slightly different viewpoint, some related results and generalizations, and discuss various associated questions. This is joint work with Richard Sharp.
Zoom Meeting ID: 832 0847 3832
Passcode: Ergodic
