[{Image src='margenstern-maurice-4.jpg' caption='' width='500' alt='Maurice Margenstern' class='image_left'}]''__Computer Science and hyperbolic geometry-promising interactions__''\\ \\ Maurice Margenstern, University of Metz, France\\ \\ __Abstract:__ \\ \\ In this talk, we consider the interaction between hyperbolic geometry and computer science. The general algorithmic approach of computer science has given a new approach to hyperbolic geometry. This is especially the case for tilings of the hyperbolic plane. This has given rise to a particular navigation tool, a uniform one which is valid for infinitely many tilings of the hyperbolic plane. This had an impact on a long-pending open problem which is now solved. But this has certainly a drawback on computer science itself. A few applications exist and new ones can be foreseen, especially in computer science itself. There could be applications to biology too. All these aspects will be discussed in the talk.