Mulmuley–Sohoni multiplicity conjecture for geometric complexity theory

The complexity classes ${\mathsf{VP}}_{ws}$ and ${\mathsf{VNP}}$ are considered through representation-theoretic multiplicities associated with them. Mulmuley–Sohoni multiplicity conjecture. There exist representation-theoretic multiplicities that are zero for ${\mathsf{VP}}_{ws}$ and nonzero for ${\mathsf{VNP}}$. The conjecture was formally stronger than the condition needed for the preceding implication from a multiplicity separation to ${\mathsf{VP}}_{ws}\neq{\mathsf{VNP}}$. The supplied status evidence says that this conjecture was recently disproved.