Reading seminar KUL–UCL spring 2023

This webpage contains organizational information for the joint reading seminar organized between the KULeuven and the UC Louvain, on the topic of non-commutative ergodic theory of higher rank lattices.



The main reference for the structure of the lectures is [H1].

[BBHB] Bader, U., Boutonnet, R., Houdayer, C., Peterson, J. Charmenability of arithmetic groups of product type. Invent. Math. 229, 929–985 (2022).
[BdlH] Bekka, B., de la Harpe, P., Unitary representations of groups, duals, and characters (2019).
[BH] Boutonnet, R., Houdayer, C. Stationary characters on lattices of semisimple Lie groups. Publ. math. IHES 133, 1–46 (2021).
[G] Gelander, T. A view on Invariant Random Subgroups and Lattices. In Proc. of the ICM 2018, Vol. 3, 1639–1672, World Sci. Pub. (2018).
[H1] Houdayer, C. Stationary actions of higher rank lattices on von Neumann algebras (2020).
[H2] Houdayer, C. Noncommutative ergodic theory of higher rank lattices (2021).
[NZ] Nevo, A., Zimmer, R. A Structure Theorem for Actions of Semisimple Lie Groups. Ann. of Math., 156(2), 565–594 (2002).
[O] Ozawa, N., Lecture on the Furstenberg boundary and C*-simplicity (2014).
[SZ] Stuck, G., Zimmer, R. Stabilizers for Ergodic Actions of Higher Rank Semisimple Groups. Ann. of Math., 139(3), 723–747 (1994).
[Z] Zimmer, R. Ergodic Theory and Semisimple Groups. MMA, volume 81, Birkhäuser (2013).