A discrete subgroup of PU(2,1) with a limit set homeomorphic to the Menger curve
Event details
| Date | 04.11.2015 |
| Hour | 16:30 › 17:30 |
| Speaker | Jordane Granier (Fribourg) |
| Location |
CM010
|
| Category | Conferences - Seminars |
The limit set of a discrete subgroup of isometries of the hyperbolic space (real or complex) is defined as the set of accumulation points of an orbit. A result by M. Kapovich and B. Kleiner classifies the spaces of topological dimension 1 that can appear as limit sets of convex cocompact subgroups of Isom(H^n): these are the circle, the Sierpinski carpet and the Menger curve. The only explicit examples known of groups with a limit set homeomorphic to the Menger curve are subgroups of PO(n,1) constructed by M. Bourdon. In this talk, I will describe how to construct a new example in the isometry group of the complex hyperbolic plane PU(2,1).
Practical information
- Expert
- Free
Organizer
- Louis Merlin