This is an announcement for the paper "Nonlinear spectral calculus and super-expanders" by Manor Mendel and Assaf Naor. Abstract: Nonlinear spectral gaps with respect to uniformly convex normed spaces are shown to satisfy a spectral calculus inequality that establishes their decay along Ces\`aro averages. Nonlinear spectral gaps of graphs are also shown to behave sub-multiplicatively under zigzag products. These results yield a combinatorial construction of super-expanders, i.e., a sequence of 3-regular graphs that does not admit a coarse embedding into any uniformly convex normed space. Archive classification: math.MG math.CO math.FA Remarks: Some of the results of this paper were announced in arXiv:0910.2041. The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1207.4705 or http://arXiv.org/abs/1207.4705