This is an announcement for the paper "Unconditionality in tensor products and ideals of polynomials, multilinear forms and operators" by Daniel Carando and Daniel Galicer. Abstract: We study tensor norms that destroy unconditionality in the following sense: for every Banach space $E$ with unconditional basis, the $n$-fold tensor product of $E$ (with the corresponding tensor norms) does not have unconditional basis. We show that this holds for all injective and projective tensor norms different from $\varepsilon$ and $\pi$, both in the full and symmetric tensor products. In particular, every nontrivial natural symmetric tensor norms destroys unconditionality. We prove that there are exactly 6 natural symmetric tensor norms for $n\ge 3$, a noteworthy difference with the 2-fold case. We present applications to polynomial ideals: we show that many polynomial ideals never have the Gordon-Lewis property or, in the spirit of a result of Defant and Kalton, can have the Gordon-Lewis property but never have unconditional basis. We also consider unconditionality in multilinear and operator ideals. Archive classification: math.FA Mathematics Subject Classification: 46M05; 46G25; 47L20 Remarks: 27 pages The source file(s), Carando-GalicerArxiv.tex: 100018 bytes, is(are) stored in gzipped form as 0906.3253.gz with size 26kb. The corresponding postcript file has gzipped size 163kb. Submitted from: dgalicer@dm.uba.ar The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0906.3253 or http://arXiv.org/abs/0906.3253 or by email in unzipped form by transmitting an empty message with subject line uget 0906.3253 or in gzipped form by using subject line get 0906.3253 to: math@arXiv.org.