New lower bounds for matrix multiplication and the 3x3 determinant

Austin Conner, Alicia Harper, J. M. Landsberg

Let $M_{⟨u,v,w⟩}\in C^{uv}\otimes C^{vw}\otimes C^{wu}$ denote the matrix multiplication tensor (and write $M_n=M_{⟨n,n,n⟩}$) and let $det_3\in ( C^9)^{\o…