Abstract: Dealing with large and multidimensional data is a ubiquitous problem in many scientific and financial settings. In recent years, geometric and topological methods have become increasingly popular. They suggest problems that are at the interface of probability, differential geometry, topology, and analysis. The first lecture will be devoted to an overview of these ideas, while the second will focus on some topological problems that arise in trying to make some heuristics rigorous and/or practical.

Coffee will be served at 12:00 before the lecture
at Schreiber building 006