It is becoming increasingly clear that algebraic topology can be applied effectively in to a number of applied problems in science and engineering. Some of these problems are:

1. Protein docking
2. Algorithmic and geometric problems in robotics
3. Exploratory and qualitative analysis of high-dimensional data sets
4. Coverage and routing problems for networks of sensors
5. Analysis of chaotic non-linear dynamical systems

The purpose of this workshop is to survey the state of the various applications, to allow the investigators to share ideas about them, and to generate new applications. Both mathematicians as well as practitioners in science and engineering are invited to participate, so that new classes of problems can be proposed as candidates for the use of algebraic topological methods. Invited speakers include: Steve Smale (University of California, Berkeley), Susan Holmes (Stanford University), Sarah Day (Cornell University), Jonathan Taylor (Stanford University), Steve Yann Oudot (Stanford University), Konstantin Mischaikow (Georgia Institute of Technology) , John Harer (Duke University),William Kalies (Florida Atlantic University), Persi Diaconis (Stanford University), Andrew Blumberg (Stanford University), Thomas Wanner (George Mason University), Gunnar Clarson (Stanford University), Robert Ghrist (,University of Illinois), Peter Bubenik (Cleveland State University), Yusu Wang (Ohio State University), Afra Zomorodian (Dartmouth College),Yuriy Mileyko (Duke University), Tigran Ishkanov (Stanford University), Facundo Mémoli (Stanford University), Vin de Silva (Stanford University).