Seminar by Dr. Yogeshwaran, D.

Title: Random geometric complexes

Speaker: Dr. Yogeshwaran, D.
         EC Senior Researcher, EE, Technion

Time: 2:15pm, 27th, February 2014
Venue: Room 217, ME Building

Abstract: In this talk, we shall focus on the global behaviour of geometric simplicial complexes built
random point sets. Starting with definitions of simplicial complexes, I shall describe heuristics about the
vanishing and formation of Betti numbers (counts of holes in the simplicial complex). We shall later look
at more rigorous mathematical results validating such heuristics. In particular, we shall look at the
impact of dependence properties of the point process on the thresholds. We shall also try to elaborate
connections with random geometric graphs. Most of the talk shall be based on a joint work with Robert J. Adler.

Speaker's brief Bio: Dr. D. Yogeshwaran is currently an EC Senior Research at Dept. of Electrical
Engineering, Israel Institute of Technology, Haifa. Earlier he is a PostDoc at Ecole Normale Superieure -
INRIA, Paris. He holds a PhD from Ecole Normale Superieure - INRIA, Paris. His research interests are in
applied probability, more specifically in random geometry and topology.