Prof. Dr. Torsten Mütze, Universität Kassel
Venn diagrams are a very popular and intuitive tool to illustrate relations between sets and operations on them. They are named after the English mathematician and philosopher John Venn, who introduced them as a graphical method to support logical reasoning. Most people, from their days in secondary school, still remember the Venn diagram for three sets represented by unit circles. It may even come to a surprise that Venn diagrams exist for any number of sets, not just three (though the shapes of the curves get more complicated than circles). These diagrams give rise to a number of challenging mathematical and computational research problems, which are also very visually appealing. I will give an overview of some of the research highlights on Venn diagrams from the past 40 years, including some of our own recent results, and I will mention some unsolved open problems.
The own results mentioned in the talk are based on joint work with Sofia Brenner, Petr Gregor, Linda Kleist, Christian Rieck and Francesco Verciani.
See you at the talk!
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