This is an announcement for the paper "Trigonometric quasi-greedy bases for $L^p(\bT;w)$" by Morten Nielsen. Abstract: We give a complete characterization of $2\pi$-periodic weights $w$ for which the usual trigonometric system forms a quasi-greedy basis for $L^p(\bT;w)$, i.e., bases for which simple thresholding approximants converge in norm. The characterization implies that this can happen only for $p=2$ and whenever the system forms a quasi-greedy basis, the basis must actually be a Riesz basis. Archive classification: Functional Analysis Mathematics Subject Classification: 42C15 Remarks: 8 pages The source file(s), trig_quasi_greedy.tex: 23971 bytes, is(are) stored in gzipped form as 0611892.gz with size 8kb. The corresponding postcript file has gzipped size 98kb. Submitted from: mnielsen@math.wustl.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0611892 or http://arXiv.org/abs/math.FA/0611892 or by email in unzipped form by transmitting an empty message with subject line uget 0611892 or in gzipped form by using subject line get 0611892 to: math@arXiv.org.