Title:Factorization inequalities and conjectures in multiuser Information Theory
Abstract: Multiuser information theory studies simultaneous communication over a noisy channel with potentially many senders and receivers. Capacity results for some of the most basic scenarios are still open. In this talk, I will preview a new approach for proving the optimality of certain achievable regions in fundamental problems by establishing certain kinds of "factorization inequalities".

I will show some factorization inequalities that we can already establish and present their consequences; and the second half will contain several inequalities that we believe to hold and also present their consequences.