Monday, June 17

5:45 PM

Levering Hall Glass Pavilion

## Proof of the Van den Berg - Kesten Conjecture

Consider two events defined on a finite set of independent events. Van Den Berg-Kesten conjectured that the probability that both events occur disjointly would be at most the product of the two probabilities. Many special cases of the conjecture were proved and applied to percolation theory. In the talk, the general case will be proved by treating the conjecture as an extremal set problem using methods from linear algebra.
**David Reimer**

Somerset, New Jersey

*MEM, 3/21/96*