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4:00 pm Monday, February 27, 2012 Topology Seminar: Topology of random flag complexesby Matthew Kahle (Ohio State) in HB 427- What does a random topological space look like? In this talk we will discuss some of the expected topological properties of the flag complex of a random graph. Using spectral methods first developed by Garland in the context of cohomology of buildings, we prove higher-dimensional generalizations of Erdos & Renyi's theorem characterizing the sharp threshold function for connectivity of the random graph. As a consequence, almost all d-dimensional flag simplicial complexes have all their nontrivial homology concentrated in middle degree d/2.
Submitted by shelly@rice.edu |