Simplicial complexes as expanders

Simplicial complexes as expanders - Ori Parzanchevski

Ori Parzanchevski
Institute for Advanced Study; Member, School of Mathematics
January 28, 2014
Expanders are highly connected sparse graphs. Simplicial complexes are a natural generalization of graphs to higher dimension, and the notions of connectedness and expansion turn out to have interesting analogues, which relate to the homology and the spectral theory of the complexes. I will explain these notions, and discuss results and problems. No prior knowledge is assumed.