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SUMMARY:A discrete subgroup of PU(2\,1) with a limit set homeomorphic to t
 he Menger curve 
DTSTART:20151104T163000
DTEND:20151104T173000
DTSTAMP:20260928T194100Z
UID:3da7eee1e3a3ac707f52d3b4d8db1aeb0a09ef622bf53da2f973f33c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jordane Granier (Fribourg)\nThe limit set of a discrete subgro
 up of isometries of the hyperbolic space (real or complex) is defined as t
 he 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 a
 s limit sets of convex cocompact subgroups of Isom(H^n): these are the cir
 cle\, the Sierpinski carpet and the Menger curve. The only explicit exampl
 es known of groups with a limit set homeomorphic to the Menger curve are s
 ubgroups of PO(n\,1) constructed by M. Bourdon. In this talk\, I will desc
 ribe how to construct a new example in the isometry group of the complex h
 yperbolic plane PU(2\,1).
LOCATION:CM010
STATUS:CONFIRMED
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