This is an announcement for the paper "Compact convex sets that admit a lower semicontinuous strictly convex function" by L. Garcia-Lirola, J. Orihuela, and M. Raja. Abstract: We study the class of compact convex subsets of a topological vector space which admits a strictly convex and lower semicontinuous function. We prove that such a compact set is embeddable in a strictly convex dual Banach space endowed with its weak$^*$ topology. In addition, we find exposed points where a strictly convex lower semicontinuous function is continuous. Archive classification: math.FA Mathematics Subject Classification: 46A55 (Primary) 46B03, 54E35 (Secondary) Remarks: 9 pages Submitted from: luiscarlos.garcia@um.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1510.07921 or http://arXiv.org/abs/1510.07921