Seminars & Colloquia Calendar
A classical correlation inequality and a conjectural generalization
Siddhartha Sahi, Rutgers University
Location: Hill 423
Date & time: Friday, 01 February 2019 at 5:00PM - 6:00PM
Abstract: The FKG inequality asserts that on a distributive lattice with a log-supermodular probability measure, any two increasing functions are positively correlated. This is an incredibly useful result, with hundreds of applications in probability, combinatorics, and graph theory. In my talk I will explain all the terms used above and give a complete proof of the inequality. I will also describe a conjectural generalization to three or more functions that is wide open and seems rather hard. I will aim to make my talk understandable all the way through.