Introduction to Property (T)
Tobias Hartnick
- https://www.uni-giessen.de/de/fbz/fb07/fachgebiete/mathematik/mathematik/kalender/2019-07-04
- Introduction to Property (T)
- 2019-07-04T16:00:00+02:00
- 2019-07-04T18:00:00+02:00
- Tobias Hartnick
04.07.2019 von 16:00 bis 18:00 (Europe/Berlin / UTC200)
Hörsaal des Mathematischen Instituts, Arndtstraße 2, 1. Stock, Raum 111
Abstract: We discuss different perspectives on Kazhdan’s property (T): As a property of unitary representations, as a fixpoint property, as a strong negation of amenability, as a spectral gap property etc. We then discuss various consequences concerning finite generation, actions on trees and homomorphisms into abelian groups. Concerning examples, we sketch an argument which ensures that SL_n(Z) has Property (T) if and only if n is at least 3 and which can be generalized to arbitrary higher rank lattices.