This is an announcement for the paper "The Grothendieck constant is strictly smaller than Krivine's bound" by Mark Braverman, Konstantin Makarychev, Yury Makarychev, and Assaf Naor. Abstract: We prove that $K_G<\frac{\pi}{2\log\left(1+\sqrt{2}\right)}$, where $K_G$ is the Grothendieck constant. Archive classification: math.FA Submitted from: naor@cims.nyu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1103.6161 or http://arXiv.org/abs/1103.6161