Maurice Margenstern
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.
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