Topology of Random Simplicial Complexes

Topology of Random Simplicial Complexes - Matthew Kahle

Matthew Kahle
Institute for Advanced Study
October 5, 2010

In this talk I will overview two very different kinds of random simplicial complex, both of which could be considered higher-dimensional generalizations of the Erdos-Renyi random graph, and discuss what is known and not known about the expected topology of each. Some of this is joint work with Eric Babson and Chris Hoffman.