Erin Crossen, University of Rochester
3:00 PM - 4:00 PM
Hylan 1106 A
We study certain simplicial complexes, called quota complexes. A quota complex on weighted vertices is constructed by adding an -simplex if the sum of the weights of the vertices is below a given quota, . In this talk, the weights of the vertices are chosen i.i.d. with a Bernoulli distribution. The main result of this talk is that the expectation of the th Betti number, i.e., the dimension of the th homology group, is unimodal in .
Event contact: arjun dot krishnan at rochester dot edu