Mobius Geometry of Ultrametric Spaces

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

Category
Colloquium

Speaker
Zair Ibragimov (California State University at Fullerton)

Abstract

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.


 

Where
Beckman B126, Harvey Mudd College

AttachmentSize
Ibragimov.pdf106.7 KB