This is an announcement for the paper "The number of weakly compact convex subsets of the Hilbert space" by Antonio Aviles. Abstract: We prove that for k an uncountable cardinal, there exist 2^k many non homeomorphic weakly compact convex subsets of weight k in the Hilbert space of density k. Archive classification: math.GN math.FA Mathematics Subject Classification: 54B35, 52A07 Citation: Topology Appl. 155, No. 15, 1720-1725 (2008) The source file(s), Manyconvex.tex: 28889 bytes, is(are) stored in gzipped form as 0903.0163.gz with size 9kb. The corresponding postcript file has gzipped size 71kb. Submitted from: avileslo@um.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0903.0163 or http://arXiv.org/abs/0903.0163 or by email in unzipped form by transmitting an empty message with subject line uget 0903.0163 or in gzipped form by using subject line get 0903.0163 to: math@arXiv.org.