Presented by:
Viktor Schroeder
Date:
Wednesday 11th January 2017 - 16:00 to 17:00
Venue:
INI Seminar Room 1
Abstract:
We give a fresh view on Moebius geometry and show that
the ideal boundary of a negatively curved space has a natural Moebius
structure. We discuss various cases of the interaction between the geometry of
the space and the Moebius geometry of its boundary.
We discuss an approach how the concept of Moebius
geometry can be generalized in order that it is usefull for the boundaries of
nonpositively curved spaces like higher rank symmetric spaces, products of rank
one spaces or cube complexes. In particular we describe a Moebius geometry on
the Furstenberg boundary of a symmetric space.
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