This is an announcement for the paper "The 2-concavification of a Banach lattice equals the diagonal of the Fremlin tensor square" by Qingying Bu, Gerard Buskes, Alexey I. Popov, Adi Tcaciuc, and Vladimir G. Troitsky. Abstract: We investigate the relationship between the diagonal of the Fremlin projective tensor product of a Banach lattice $E$ with itself and the 2-concavification of~$E$. Archive classification: math.FA Mathematics Subject Classification: 46B42, 46M05, 46B40, 46B45 Remarks: 18 pages Submitted from: troitsky@ualberta.ca The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1109.5380 or http://arXiv.org/abs/1109.5380