This is an announcement for the paper "$\ell_p$ (p>2) does not coarsely embed into a Hilbert space" by W. B. Johnson and N. L. Randrianarivony. Abstract: A coarse embedding of a metric space X into a metric space Y is a map f: X-->Y satisfying for every x, y in X: \phi_1(d(x,y)) \leq d(f(x),f(y)) \leq \phi_2(d(x,y)) where \phi_1 and \phi_2 are nondecreasing functions on [0,\infty) with values in [0,\infty), with the condition that \phi_1(t) tends to \infty as t tends to \infty. We show that \ell_p does not coarsely embed in a Hilbert space for 2<p<\infty. Archive classification: Functional Analysis Remarks: 10 pages The source file(s), coarselpl2.9.tex: 14916 bytes, is(are) stored in gzipped form as 0410427.gz with size 5kb. The corresponding postcript file has gzipped size 36kb. Submitted from: nirina@math.tamu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0410427 or http://arXiv.org/abs/math.FA/0410427 or by email in unzipped form by transmitting an empty message with subject line uget 0410427 or in gzipped form by using subject line get 0410427 to: math@arXiv.org.