Simplicial complexes as expanders

Computer Science/Discrete Mathematics Seminar II
Topic:Simplicial complexes as expanders
Speaker:Ori Parzanchevski
Affiliation:Member, School of Mathematics
Date:Tuesday, December 10
Time/Room:10:30am - 12:30pm/S-101

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.