This is an announcement for the paper "The (B) conjecture for uniform measures in the plane" by Amir Livne Bar-on. Abstract: We prove that for any two centrally-symmetric convex shapes $K,L \subset \mathbb{R}^2$, the function $t \mapsto |e^t K \cap L|$ is log-concave. This extends a result of Cordero-Erausquin, Fradelizi and Maurey in the two dimensional case. Possible relaxations of the condition of symmetry are discussed. Archive classification: math.FA Remarks: 10 pages Submitted from: livnebaron@mail.tau.ac.il The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1311.6584 or http://arXiv.org/abs/1311.6584