Tuesday, April 30, 2024
Time  Items 

All day 

4:00pm 
04/30/2024  4:00pm The visual boundary of a hyperbolic space is a quasiisometry invariant that has proven to be a very useful tool in geometric group theory. When one considers CAT(0) spaces, however, the situation is more complicated, because the visual boundary is not a quasiisometry invariant. Instead, one can consider a natural subspace of the visual boundary, called the (sublinearly) Morse boundary. In this talk, I will describe a new topology on this boundary and use it to show that the Morse boundary with the restriction of the visual topology is a quasiisometry invariant in the case of (nice) CAT(0) cube complexes. This result is in contrast to Cashenâ€™s result that the Morse boundary with the visual topology is not a quasiisometry invariant of CAT(0) spaces in general. This is joint work with Merlin IncertiMedici. Location:
KT 205
