KULeuven - UCLouvain working seminar, Fall 2012

Ergodic actions of higher rank lattices (after D. Creutz and J. Peterson)


Abstract: The talks will center around the article Stabilizers of Ergodic Actions of Lattices and Commensurators by D. Creutz and J. Peterson, available here. We will also cover background material like Margulis' Normal Subgroup Theorem, and the work of Stuck-Zimmer on essential freeness of ergodic actions of lattices in higher rank simple Lie groups.

Framework: This activity belongs to the IAP project DYGEST.

Organisers:
Pierre-Emmanuel Caprace and Stefaan Vaes


Locations

The talks will be given alternatively at the KUL and at the UCL.
The talks at KUL take place in room B.01.05 (Nov 16) or B.02.16 (Dec 7) of the Math building, located Celestijnenlaan 200B, 3001 Heverlee. Directions can be found here.
All the talks at UCL take place in room Cycl 08 of the Math building, located chemin du Cyclotron 2, 1348 Louvain-la-Neuve. Directions can be found here.

Main references

[CrPe] D. Creutz and J. Peterson, Stabilizers of Ergodic Actions of Lattices and Commensurators, preprint (2012).
[M] G. Margulis, Discrete subgroups of semi-simple Lie groups, Ergebnisse der Mathematik und ihrer Grenzgebiete, 17, Berlin (1991).
[NeZi] A. Nevo and R. Zimmer, A generalization of the intermediate factors theorem, J. Anal. Math. 86 (2002), 93-104.
[StZi] G. Stuck and R. Zimmer, Stabilizers for ergodic actions of higher rank semisimple groups, Ann. of Math. 139 (1994), no. 3, 723-747.
[Zi] R. Zimmer, Ergodic theory and semisimple group, Monographs in Mathematics, 81, Birkhauser Verlag, Basel (1984).

Schedule