Tuesday, April 30, 2019 at 2:00pm to 3:00pm
Kaprielian Hall (KAP), 414
3620 South Vermont Avenue, Los Angeles, CA 90089
École Normale Supérieure, Lyon, France
Abstract: In the neighborhood of a singular point, a real analytic curve in the plane consists of a finite number of branches. Each of these branches intersects a small circle around the singular point in two points. Therefore, the local topology is described by a chord diagram: an even number of points on a circle paired two by two. Not all chord diagrams come from a singular point. The main purpose of this talk is to give an complete description of those « analytic » chord diagrams. On our way, we shall meet some interesting concepts from computer science, graph theory and operads.