Mobius Geometry of Ultrametric Spaces

Start: 04/24/2013 - 4:15pm
End  : 04/24/2013 - 5:15pm


Zair Ibragimov (California State University at Fullerton)


Ultrametric spaces arise in many areas of analysis and geometry. A metric space is called an ultrametric space if its metric satisfies the strong triangle inequality. Examples of such spaces are the fields of p-adic numbers and the endspaces of metric trees. I begin my talk by discussing several examples and some basic properties of ultrametric spaces. I will then discuss chordal ultrametrics as well as decomposition and normalization of ultrametric spaces, which play a crucial role in establishing the rigidity results for Mobius maps between ultrametric spaces. The talk will be accessible to undergraduate students.


Beckman B126, Harvey Mudd College

Ibragimov.pdf106.7 KB

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