# Video abstract: The hyperring of adèle classes


We have encountered **Alain Connes** when I write the brief post about the [Riemann hypothesis](http://docmadhattan.fieldofscience.com/2011/09/riemann-hypothesis.html). Now he explain in the following video abstract his paper [_The hyperring of adèle classes_](http://dx.doi.org/10.1016/j.jnt.2010.09.001) ([arXiv](http://arxiv.org/abs/1001.4260)) written with **Caterina Consani**: