2024 - T2 - Group actions and rigidity: around the Zimmer program

Collection 2024 - T2 - Group actions and rigidity: around the Zimmer program

Organizer(s) Brown, Aaron ; Fisher, David ; Mann, Kathryn ; Pecastaing, Vincent ; Spatzier, Ralf
Date(s) 15/04/2024 - 05/07/2024
linked URL https://indico.math.cnrs.fr/event/9043/
85 86

Parameterized accessibility classes and rigidity - Part 3

By Kurt Vinhage

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.

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Watch part 2

Watch part 4

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