The topology of finite metric spaces

Research Horizons Seminar
Thursday, May 1, 2014 - 1:00pm
1 hour (actually 50 minutes)
Skiles 006
Stanford University

Note: This is a special time for Research Horizons.

Special seminar title: The idea of studying the geometry and topology of finite metric spaces has arisen due to the fact that almost all kinds of data sets arising in science or the commercial world are equipped with a metric. This has led to the development of cohomology theories applicable to finite metric spaces, which allow one to construct "measurements" of the shape of the data sets. We will define these theories and discuss their properties. We will also describe their applications, and suggest directions of future research on them.