01:41:01
published on June 27, 2025
Exploring the High-dimensional Random Landscapes of Data Science (3/3)
By Gérard Ben Arous
Parameterized accessibility classes and rigidity - Part 2
By Kurt Vinhage
Appears in collection : 2024 - T2 - Group actions and rigidity: around the Zimmer program
In this mini-course, I will describe the way in which accessibility classes of partially hyperbolic systems interact with rigidity properties. In particular, I will explain a setting where the action of a certain topological group parameterizes accessibility classes, and methods to control this action to produce rigidity theorems. Time permitting, I will explain how common rigidity assumptions can place us in this special setting, and how sub-accessibility classes play an important role in understanding the non-rigid setting. Based on joint works and ideas developed with D. Damjanovic, R. Spatzier, A. Uzman, Z.J. Wang, and D. Xu.
