Initial studies of the degrees of Freedom (DoF) of wireless communication networks explored sophisticated albeit fragile ways to exploit an abundance of channel knowledge which is rarely available in practice while ignoring topological aspects that are the basis of most robust interference management schemes. As robustness concerns increasingly take center stage, the focus is on information theoretically optimal ways to exploit network topology under limited channel knowledge. Recent progress in this direction includes the discovery that optimal interference avoidance is essentially the index coding problem, that interference alignment plays a central role in this problem even though no precise knowledge of channel realizations is available, a new set of conditions for the approximate optimality of treating interference as noise and novel outer bounds based on aligned image sets. The talk will summarize these recent advances in the understanding of information theoretic optimality of robust interference management principles.
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