This is an announcement for the paper “A new coarsely rigid class of Banach spaces” by Florent Baudier<https://arxiv.org/search/math?searchtype=author&query=Baudier%2C+F>, Gilles Lancien<https://arxiv.org/search/math?searchtype=author&query=Lancien%2C+G>, Pavlos Motakis<https://arxiv.org/search/math?searchtype=author&query=Motakis%2C+P>, Thomas Schlumprecht<https://arxiv.org/search/math?searchtype=author&query=Schlumprecht%2C+T>. Abstract: We prove that the class of reflexive asymptotic-$c_0$ Banach spaces is coarsely rigid, meaning that if a Banach space $X$ coarsely embeds into a reflexive asymptotic-$c_0$ space $Y$, then $X$ is also reflexive and asymptotic-$c_0$. In order to achieve this result we provide a purely metric characterization of this class of Banach spaces which is rigid under coarse embeddings. This metric characterization takes the form of a concentration inequality for Lipschitz maps on the Hamming graphs. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1806.00702