Abstract: Abstract: The science and engineering disciplines are producing enormous volumes of data from many different experimental sources. The data comes in many forms, and developing methods for usefully analyzing it is of great importance. In this talk, we will discuss some methods arising out of topology for extracting qualitative information from these data sets. We will discuss persistent homology, topological methods for providing "roadmaps" to the data, and homotopy theoretic methods for analyzing the stability of the road methods.

Notes: (mostly for graduate students; Gunnar is well known topologist; since a number of years he is involved in exploring the tools of algebraic topology in computer sciences. There are interesting new ideas which deserve high attention.)