Timeline for Kazhdan's property T for Kahler surfaces
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Mar 25, 2012 at 19:54 | comment | added | Misha | @Igor Rivin: Igor, there are several ways to construct hyperbolic groups with property T. The oldest: (1) Uniform lattices in quaternionic hyperbolic space. More recent: (2) Fundamental groups of 2-dimensional simplicial complexes where links of vertices have smallest eigenvalue $>1/2$. (3) Uniform lattices acting on some hyperbolic buildings. (4) Random groups (in certain regimes) are infinite hyperbolic with property T. Very recent: (5) Oppenheim's constructions. However, it is conjectured that 2-dimensional (hyperbolic) groups are never Kahler (except for surface groups). | |
| Mar 25, 2012 at 17:54 | vote | accept | Igor Rivin | ||
| Mar 25, 2012 at 17:54 | comment | added | Igor Rivin | @Misha: Isn't it hard just to find a hyperbolic group with prop T? | |
| Mar 25, 2012 at 13:55 | comment | added | Misha | Igor, if you add the assumption that the fundamental group is Gromov-hyperbolic, then it becomes a very interesting question to which currently there are no counter-examples. | |
| Mar 25, 2012 at 13:13 | answer | added | BS. | timeline score: 9 | |
| Mar 25, 2012 at 4:52 | history | asked | Igor Rivin | CC BY-SA 3.0 |