Abstract: "In this presentation we want to introduce the Dehn-Nielsen-Baer Theorem stating that there is an isomorphism between the mapping class group and the outer automorphism group of the fundamental group associated to the surface of genus g. For this, we take a quick look at the fundamental group of the surface. We define the mapping class group to state the theorem and check the involved objects for well-definition. For comprehension and discussion, we use a coding project to visualize the map mentioned in the Dehn-Nielsen-Bar Theorem."

Speaker: Luca Morris Tittel