Évènement

In this talk, we will attempt to revive this childhood pastime from a mathematical perspective. However, the goal is quite different. We want to determine the number of distinct colorings of an object made up of identical regions. At first glance, this may seem like a purely combinatorial problem. Now, if we color the object and then manipulate it without altering its structure, we still obtain the same coloring. Group actions then become an essential tool for counting these colorings. Concrete geometric examples will be explored to highlight the connection with abstract algebra and to develop an intuitive understanding of the underlying concepts.